A153345 Triangle read by rows, A000012 * A055830

1, 2, 0, 4, 1, 0, 7, 4, 1, 0, 12, 11, 5, 1, 0, 20, 26, 17, 6, 1, 0, 33, 56, 48, 24, 7, 1, 0, 54, 114, 121, 78, 32, 8, 1, 0, 88, 223, 283, 223, 117, 41, 9, 1, 0, 143, 424, 627, 584, 372, 166, 51, 10, 1, 0, 232, 789, 1334, 1434, 1073, 579, 226, 62, 11, 1, 0, 376, 1444, 2750, 3352, 2879, 1818, 856, 298, 74, 12, 1, 0

Offset

1,2

Comments

Row sums = Pell numbers, A000129: (1, 2, 5, 12, 29,...).

Left border = A000071.

Links

Table of n, a(n) for n=1..78.

Formula

Triangle read by rows, A000012 * triangle A055830 = partial sums of A055830 columns.

Example

First few rows of the triangle =
1;
2, 0;
4, 1, 0;
7, 4, 1, 0;
12, 11, 5, 1, 0;
20, 26, 17, 6, 1, 0;
33, 56, 48, 24, 7, 1, 0;
54, 114, 121, 78, 32, 8, 1, 0;
88, 223, 283, 223, 117, 41, 9, 1, 0;
143, 424, 627, 584, 372, 166, 51, 10, 1, 0;
232, 789, 1334, 1434, 1073, 579, 226, 62, 11, 1, 0;
...

Crossrefs

Cf. A000129, A055830.

Sequence in context: A360880 A255330 A291940 * A140648 A153342 A144258

Adjacent sequences: A153342 A153343 A153344 * A153346 A153347 A153348

Keyword

nonn,tabl

Author

Gary W. Adamson, Dec 24 2008

Extensions

a(21) = 0 inserted and more terms from Georg Fischer, May 29 2023

Status

approved