A061000 - OEIS

A061000

a(n) = Sum_{k=1..n} A060999(k) * k^3.

0, 8, 89, 537, 2287, 7471, 20505, 49689, 108738, 219738, 416726, 748502, 1284570, 2121490, 3387115, 5250795, 7933293, 11712429, 16938987, 24050987, 33580556, 46177140, 62626924, 83860588, 110985588, 145311516, 188358237, 241899165

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OFFSET

1,2

COMMENTS

Original name: x.v where x = first n terms of A060999, v = [1,8,27,...,n^3].

LINKS

Table of n, a(n) for n=1..28.

FORMULA

a(n) = Sum_{k=1..n} A060999(k) * A000578(k). - Sean A. Irvine, Jan 13 2023

EXAMPLE

a(3) = 0*1 + 1*8 + 3*27 = 89.

MATHEMATICA

nn=30; With[{c=Range[nn]^3, d=Table[Floor[(n+1)^3/9+1/2], {n, 0, nn-1}]}, Table[Take[c, n].Take[d, n], {n, nn}]] (* Harvey P. Dale, Jan 20 2013 *)

CROSSREFS

Cf. A000578, A060999.

Sequence in context: A084005 A137494 A068498 * A240457 A319842 A072352

Adjacent sequences: A060997 A060998 A060999 * A061001 A061002 A061003

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 15 2001

STATUS

approved