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A168511 Triangle T(n,k), read by rows, given by [0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,...] DELTA [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,...] where DELTA is the operator defined in A084938. 5
1, 0, 1, 0, 0, 2, 0, 0, 1, 4, 0, 0, 2, 4, 8, 0, 0, 4, 10, 12, 16, 0, 0, 8, 24, 36, 32, 32, 0, 0, 16, 56, 101, 112, 80, 64, 0, 0, 32, 128, 270, 360, 320, 192, 128, 0, 0, 64, 288, 696, 1086, 1160, 864, 448, 256, 0, 0, 128, 640, 1744, 3120, 3900, 3488, 2240, 1024, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Alois P. Heinz, Rows n = 0..140, flattened

FORMULA

Sum_{k, 0<=k<=n} T(n,k)*x^(n-k) = A001405(n), A011782(n), A000108(n), A168490(n), A168492(n) for x = -1,0,1,2,3 respectively.

EXAMPLE

Triangle begins:

1;

0, 1;

0, 0,  2;

0, 0,  1,  4;

0, 0,  2,  4,   8;

0, 0,  4, 10,  12,  16;

0, 0,  8, 24,  36,  32, 32;

0, 0, 16, 56, 101, 112, 80, 64;

CROSSREFS

Cf. A021913, A133872.

Sequence in context: A073429 A123634 A091866 * A111146 A109077 A137585

Adjacent sequences:  A168508 A168509 A168510 * A168512 A168513 A168514

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Nov 28 2009

EXTENSIONS

Corrected and extended by Philippe Deléham, Mar 20 2013

STATUS

approved

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Last modified October 20 13:59 EDT 2018. Contains 316379 sequences. (Running on oeis4.)