A164938 a(n) = (n^5 - n)/10, which is always an integer.

0, 3, 24, 102, 312, 777, 1680, 3276, 5904, 9999, 16104, 24882, 37128, 53781, 75936, 104856, 141984, 188955, 247608, 319998, 408408, 515361, 643632, 796260, 976560, 1188135, 1434888, 1721034, 2051112, 2429997, 2862912, 3355440, 3913536

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n > 6. - Harvey P. Dale, Jan 14 2012

G.f.: (3*(x^3+2*x^2+x))/(x-1)^6. - Harvey P. Dale, Jan 14 2012

a(n) = A061167(n)/10. - Michel Marcus, Sep 04 2013

E.g.f.: exp(x)*x^2*(15 + 25*x + 10*x^2 + x^3)/10. - Stefano Spezia, Dec 27 2021

Mathematica

Table[(n^5 - n)/10, {n, 1, 50}] (* Stefan Steinerberger, Sep 03 2009 *)
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 3, 24, 102, 312, 777}, 50] (* Harvey P. Dale, Jan 14 2012 *)

Crossrefs

Cf. A061167.

Sequence in context: A216725 A334038 A320976 * A342112 A050545 A354676

Adjacent sequences: A164935 A164936 A164937 * A164939 A164940 A164941

Keyword

easy,nonn

Author

Bill Welsh (bill.welsh.75(AT)gmail.com), Aug 31 2009

Extensions

More terms from Stefan Steinerberger, Sep 03 2009

Status

approved