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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 October 14 18:28 EDT 2019. Contains 328022 sequences. (Running on oeis4.)