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 A167656 Triangle T(n,k), 0<=k<=n, read by rows given by [1,1,2,1,2,1,2,1,2,1,2,...] DELTA [1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. 1
 1, 1, 1, 2, 4, 2, 6, 16, 14, 4, 22, 68, 78, 40, 8, 90, 304, 410, 284, 104, 16, 394, 1412, 2122, 1776, 896, 256, 32, 1806, 6752, 10966, 10468, 6496, 2592, 608, 64, 8558, 33028, 56870, 59832, 43016, 21376, 7072, 1408, 128, 41586, 164512, 296498, 336252 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..48. FORMULA T(n,0) = T(n-1,0) + T(n-1,1). T(n,1) = T(n-1,0) + 3*T(n-1,1) + T(n-1,2). T(n,k) = 2*T(n-1,k-1) + 3*T(n-1,k) + T(n-1,k+1) for k>1. EXAMPLE Triangle begins: 1 ; 1,1 ; 2,4,2 ; 6,16,14,4 ; 22,68,78,40,8 ; 90,304,410,284,104,16 ; ... CROSSREFS Cf. A132372, A155069, A006319, A011782. Sequence in context: A276528 A205839 A138024 * A253666 A174298 A196347 Adjacent sequences: A167653 A167654 A167655 * A167657 A167658 A167659 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Nov 08 2009 STATUS approved

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Last modified May 21 02:29 EDT 2024. Contains 372720 sequences. (Running on oeis4.)