Pokemon Basic 2017 Numel Hp 80 Continuous Headbutt —30

Introduction
Generation 2 saw the introduction of Headbutt as a field move, as a new way to obtain different Pokemon.
By now, players probably know that certain rare Pokemon can only be found in certain headbuttable trees, but may be unaware how to differentiate moderate encounter trees from low encounter trees.
The intention behind this document, is to log the necessary information relating to this.

Mechanic Explanation
On every map, every tile can be assigned a value that ranges from 0 to 9, based on it's distance from tile 0 (the upper left tile).
When a tree falls on said tile, the value on the tile will be used in the determination of whether the headbuttable tree will result in a moderate or low encounter type.

The formula used to determine the tree's index:

index = ( ( X * Y + X + Y ) / 5 ) % 10

The determination whether the index will result in moderate or low encounter type, depends on the value of the Trainer ID.
The formula used to determine the rare index (basically the last digit/right-most digit on the TID):

rare_index = trainer_id % 10

Example of usage
For example, if your Trainer ID is 26117, the rare index is 7.
Meaning every tree with the index 7 on that map will result in a low encounter type of tree.
Here's an example:

With the circled tree in the image, users can potentially encounter Heracross there!

Implemention
As seen in the image above, there's actually a web tool that presently works.
The web tool is created by

u/TShadowKnight

on reddit.

In the event the tool goes offline, I've got all the maps data recorded! (Or if you prefer to know which map has the mon, but want to go hunting.)
The table below shows which index tree is available on which map.

Map	Available Tree Indexes	Missing Tree Index	Unique to Rare Tree on Map
			Gold	Silver	Crystal
Azalea Town	0, 1, 2, 3, 4, 5, 6, 8, 9	7	Pineco	Pineco	Pineco
Ilex Forest	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Pineco	Pineco	Butterfree, Beedrill, Noctowl, Pineco
Lake of Rage	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Pineco	Pineco	Pineco
Route 26	9	0, 1, 2, 3, 4, 5, 6, 7, 8	Pineco	Pineco	Pineco
Route 27	0, 1, 3, 4, 5, 7, 9	2, 6, 8	Pineco	Pineco	Pineco
Route 29	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Heracross	Heracross	Pineco
Route 30	0, 1, 2, 3, 4, 5, 6, 7	8, 9	Heracross	Heracross	Pineco
Route 31	1, 2, 3, 4, 5, 6, 7, 8, 9	0	Heracross	Heracross	Pineco
Route 32	1, 2, 3, 5, 6, 7, 8, 9	0, 4	Heracross	Heracross	Pineco
Route 33	6, 9	0, 1, 2, 3, 4, 5, 7, 8	Heracross	Heracross	Heracross
Route 34	0	1, 2, 3, 4, 5, 6, 7, 8, 9	Pineco	Pineco	Pineco
Route 35	0, 5, 6, 9	1, 2, 3, 4, 7, 8	Pineco	Pineco	Pineco
Route 36	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Pineco	Pineco	Pineco
Route 37	0, 3, 4, 5, 7, 9	1, 2, 6, 8	Pineco	Pineco	Pineco
Route 38	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Pineco	Pineco	Pineco
Route 39	2, 7, 8	0, 1, 3, 4, 5, 6, 9	Pineco	Pineco	Pineco
Route 42	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Heracross	Heracross	Heracross
Route 43	0, 1, 2, 3, 4, 5, 6, 7, 8, 9		Heracross	Heracross	Pineco
Route 44	0, 1, 2, 3, 4, 5, 6, 7, 9	8	Heracross	Heracross	Heracross

For images of the specific maps, go here:

Sources
The formulas regarding the Headbutt mechanics: https://bulbapedia.bulbagarden.net/wiki/Headbutt_tree
Tiles overlaying the maps: http://37.97.147.73/Headbutt Grid.htm from u/TShadowKnight on reddit

adelsongoned1954.blogspot.com

Source: https://projectpokemon.org/home/docs/other/generation-2-headbutt-mechanics-r100/

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