A061005 (Nearest integer to n^6/36) / 2.

0, 1, 10, 57, 217, 648, 1634, 3641, 7381, 13889, 24605, 41472, 67039, 104577, 158203, 233017, 335244, 472392, 653415, 888889, 1191196, 1574721, 2056054, 2654208, 3390842, 4290497, 5380840, 6692921, 8261435, 10125000, 12326440

Offset

1,3

Links

Table of n, a(n) for n=1..31.

Index entries for linear recurrences with constant coefficients, signature (5,-9,6,0,0,0,-6,9,-5,1).

Formula

G.f.: -x^2*(x^6+5*x^5+16*x^4+16*x^3+16*x^2+5*x+1)/((x-1)^7*(x+1)*(x^2+x+1)). [Colin Barker, Sep 18 2012]

Mathematica

Round[Range[40]^6/36]/2 (* or *) LinearRecurrence[{5, -9, 6, 0, 0, 0, -6, 9, -5, 1}, {0, 1, 10, 57, 217, 648, 1634, 3641, 7381, 13889}, 40] (* Harvey P. Dale, Jul 07 2013 *)

Crossrefs

Sequence in context: A034195 A351458 A067250 * A006550 A047780 A055251

Adjacent sequences: A061002 A061003 A061004 * A061006 A061007 A061008

Keyword

nonn,easy

Author

N. J. A. Sloane, May 15 2001

Status

approved