A080770 a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n*floor(e*(n-1)!).

17, 86, 157, 260, 401, 586, 821, 1112, 1465, 1886, 2381, 2956, 3617, 4370, 5221, 6176, 7241, 8422, 9725, 11156, 12721, 14426, 16277, 18280, 20441, 22766, 25261, 27932, 30785, 33826, 37061, 40496, 44137, 47990, 52061, 56356, 60881, 65642, 70645

Offset

1,1

Links

Table of n, a(n) for n=1..39.

Formula

a(n) = n^3 + 7*n^2 + 17*n + 16 for n >= 2, a(1) = 17.

Mathematica

a[n_] := n^3 + 7*n^2 + 17*n + 16; a[1] = 17; Array[a, 40] (* Amiram Eldar, May 03 2025 *)

Prog

(PARI) a(n) = if(n == 1, 17, n^3 + 7*n^2 + 17*n + 16); \\ Amiram Eldar, May 03 2025

Crossrefs

Cf. A000522, A001113 (e).

Sequence in context: A146389 A328010 A041554 * A118863 A118533 A061679

Adjacent sequences: A080767 A080768 A080769 * A080771 A080772 A080773

Keyword

nonn,easy

Author

Benoit Cloitre, Mar 10 2003

Status

approved