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 A209185 Number of words, either empty or beginning with the first letter of the cyclic 6-ary alphabet, where each letter of the alphabet occurs n times and letters of neighboring word positions are equal or neighbors in the alphabet. 1
 1, 2, 202, 53768, 19341130, 8151741752, 3795394507240, 1892725627422240, 992594962274742090, 540969426319412656280, 303934170379321788972952, 175019302819674622982714912, 102858166922334018149414066152, 61493440878115135100772134725088 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The first and the last letters are considered neighbors in a cyclic alphabet. The words are not considered cyclic here. a(n) is also the number of (6*n-1)-step walks on 6-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that the indices of dimensions used in consecutive steps differ by less than 2 or are in the set {1,6}. LINKS Table of n, a(n) for n=0..13. CROSSREFS Column k=6 of A208879. Sequence in context: A180301 A203773 A349982 * A216608 A238819 A110899 Adjacent sequences: A209182 A209183 A209184 * A209186 A209187 A209188 KEYWORD nonn,walk AUTHOR Alois P. Heinz, Mar 05 2012 STATUS approved

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Last modified June 8 00:26 EDT 2023. Contains 363157 sequences. (Running on oeis4.)