A153583 -id:A153583 - cp's OEIS frontend

A024581 a(n) = integer nearest e*a(n-1), where a(0) = 1.

1, 3, 8, 22, 60, 163, 443, 1204, 3273, 8897, 24185, 65742, 178705, 485771, 1320462, 3589388, 9756968, 26522189, 72094784, 195973941, 532712403, 1448062445, 3936241831, 10699814642, 29085111709, 79061530637, 214911522061, 584190085145

Offset: 0

Clark Kimberling

nonn

Clark Kimberling, Table of n, a(n) for n = 0..250
Steve Butler, R. L. Graham & Nan Zang, Jumping Sequences, Journal of Integer Sequences, Vol. 11, 2008, 08.4.5.

Equals row sums of triangle A153583. [Gary W. Adamson, Dec 28 2008]

a[0] = 1; a[n_] := Round[E*a[n - 1]];
Table[a[n], {n, 0, 30}]
(* Clark Kimberling, Aug 18 2012 *)
NestList[Floor[E*#+1/2]&,1,30] (* Harvey P. Dale, Jan 10 2013 *)

lista(nn) = {nn++; my(va = vector(nn)); va[1] = 1; for (n=2, nn, va[n] = round(exp(1)*va[n-1]);); va;} \\ Michel Marcus, Jan 27 2019

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

Original entry on oeis.org

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

Gary W. Adamson, Dec 28 2008

nonn

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

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

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

Cf. A024581, A153583.

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

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

More terms from Michel Marcus, Jan 27 2019

cp's OEIS Frontend

A024581 a(n) = integer nearest e*a(n-1), where a(0) = 1.

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

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