A134195 Antidiagonal sums of square array A126885.

1, 3, 7, 15, 32, 72, 178, 494, 1543, 5373, 20581, 85653, 383494, 1833250, 9301792, 49857540, 281193501, 1663183383, 10286884195, 66365330811, 445598473612, 3107611606908, 22470529228910, 168190079241210, 1301213084182483, 10391369994732593, 85553299734530113

Offset

0,2

Comments

Conjecture: partial sums of A104879. - Sean A. Irvine, Jul 14 2022

Links

Table of n, a(n) for n=0..26.

Example

a(4) = 1 + 5 + 11 + 10 + 5 = 32.

Prog

(Maxima)
T(n, k) := if k = 1 then 1 else n*T(n, k - 1) + k$ /* A126885 */
a(n) := sum(T(n - k + 1, k), k, 1, n + 1)$
makelist(a(n), n, 0, 50); /* Franck Maminirina Ramaharo, Jan 26 2019 */

Crossrefs

Cf. A126885.

Sequence in context: A137166 A101890 A307573 * A365527 A079444 A269560

Adjacent sequences: A134192 A134193 A134194 * A134196 A134197 A134198

Keyword

nonn,easy

Author

Gary W. Adamson, Oct 12 2007

Status

approved