A076111 Product of terms in n-th row of A076110.

1, 2, 15, 280, 9945, 576576, 49579075, 5925744000, 939536222625, 190787784140800, 48279601331512551, 14894665739501184000, 5502449072258318805625, 2397950328737212204032000

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..230

Formula

a(n) = Prod_{k=1..n} (1+n*k). - Yalcin Aktar, Jul 14 2009

a(n) = n^n * Pochhammer(n, 1 + 1/n). - G. C. Greubel, Mar 04 2020

a(n) = A092985(n)*(n^2+1). - R. J. Mathar, Mar 30 2023

Maple

seq( mul(j*n+1, j=1..n), n=0..15); # G. C. Greubel, Mar 04 2020

Mathematica

Table[Product[j*n+1, {j, n}], {n, 0, 15}] (* G. C. Greubel, Mar 04 2020 *)

Prog

(Maxima) A076111(n):=prod(1+n*k, k, 1, n)$
makelist(A076111(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */
(PARI) vector(16, n, my(m=n-1); prod(j=1, m, j*m+1)) \\ G. C. Greubel, Mar 04 2020
(Magma) [1] cat [&*[j*n+1: j in [1..n]]: n in [1..15]]; // G. C. Greubel, Mar 04 2020
(Sage) [product(j*n+1 for j in (1..n)) for n in (0..15)] # G. C. Greubel, Mar 04 2020
(GAP) List([0..15], n-> Product([1..n], j-> j*n+1) ); # G. C. Greubel, Mar 04 2020

Crossrefs

Cf. A002522, A064808, A076110.

Sequence in context: A354980 A143886 A174482 * A377895 A371673 A087526

Adjacent sequences: A076108 A076109 A076110 * A076112 A076113 A076114

Keyword

easy,nonn

Author

Amarnath Murthy, Oct 09 2002

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

Status

approved