A153582 - OEIS

%I #15 Feb 09 2022 09:04:12

%S 1,1,3,9,24,65,177,481,1308,3555,9664,26269,71406,194103,527625,

%T 1434235,3898654,10597641,28807374,78306562,212859305,578611580,

%U 1572829344,4275393425,11621724256,31591121861,85873572496,233428571660,634524644587,1724816811090,4688538195006,12744768177522

%N A024581 / [1,2,3,...].

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

%H Steve Butler, R. L. Graham and Nan Zang, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL11/Butler/butler8.html">Jumping Sequences</a>, Journal of Integer Sequences, Vol. 11, 2008, 08.4.5.

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

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

%o (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

%Y Cf. A024581, A153583.

%K nonn

%O 0,3

%A _Gary W. Adamson_, Dec 28 2008

%E More terms from _Michel Marcus_, Jan 27 2019