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A024581 a(n) = integer nearest e*a(n-1), where a(0) = 1. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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.

MATHEMATICA

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 *)

PROG

(PARI) 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

CROSSREFS

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

Sequence in context: A318901 A278612 A331028 * A028859 A155020 A318902

Adjacent sequences:  A024578 A024579 A024580 * A024582 A024583 A024584

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)