A153582 A024581 / [1,2,3,...].

1, 1, 3, 9, 24, 65, 177, 481, 1308, 3555, 9664, 26269, 71406, 194103, 527625, 1434235, 3898654, 10597641, 28807374, 78306562, 212859305, 578611580, 1572829344, 4275393425, 11621724256, 31591121861, 85873572496, 233428571660, 634524644587, 1724816811090, 4688538195006, 12744768177522

Offset

0,3

Comments

Convolved with [1, 2, 3, ...] = A024581: (1, 3, 8, 22, 60, 163, ...) (cf. triangle A153583).

Links

Table of n, a(n) for n=0..31.

Steve Butler, R. L. Graham and Nan Zang, Jumping Sequences, Journal of Integer Sequences, Vol. 11, 2008, 08.4.5.

Formula

A024581 / [1,2,3,...], where A024581 = (1, 3, 8, 22, 60, 163, ...).

Example

(1, 1, 3, 9) convolved with (1, 2, 3, 4) = (4 + 3 + 6 + 9 ) = 22 = A024581(3).

Prog

(PARI) lista(nn) = {my(va = vector(nn), vc = vector(nn)); va[1] = 1; for (n=1, nn, if (n > 1, va[n] = round(exp(1)*va[n-1])); vc[n] = va[n] - sum(k=1, n-1, vc[k]*(n-k+1)); ); vc; } \\ Michel Marcus, Jan 27 2019

Crossrefs

Cf. A024581, A153583.

Sequence in context: A123892 A269531 A064831 * A269461 A096168 A051042

Adjacent sequences: A153579 A153580 A153581 * A153583 A153584 A153585

Keyword

nonn

Author

Gary W. Adamson, Dec 28 2008

Extensions

More terms from Michel Marcus, Jan 27 2019

Status

approved