A064202 a(n) = n*(n+1)*(n+2)*(2*n^3 + 6*n^2 + 7*n - 3)/36.

0, 2, 34, 210, 830, 2520, 6412, 14364, 29220, 55110, 97790, 165022, 266994, 416780, 630840, 929560, 1337832, 1885674, 2608890, 3549770, 4757830, 6290592, 8214404, 10605300, 13549900, 17146350, 21505302, 26750934, 33022010

Offset

0,2

References

L. Berzolari, Allgemeine Theorie der Höheren Ebenen Algebraischen Kurven, Encyclopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen. Band III_2. Heft 3, Leipzig: B. G. Teubner, 1906. p. 352.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Formula

G.f.: 2*x*(1+10*x+7*x^2+2*x^3)/(1-x)^7. - Colin Barker, Feb 28 2012

Mathematica

Table[n*(n+1)*(n+2)*(2*n^3+6*n^2+7*n-3)/36, {n, 0, 40}] (* Vincenzo Librandi, Feb 29 2012 *)

Prog

(Magma) [n*(n+1)*(n+2)*(2*n^3 + 6*n^2 + 7*n -3)/36: n in [0..30]]; // Vincenzo Librandi, Feb 29 2012

Crossrefs

Sequence in context: A226336 A213826 A259108 * A206624 A131471 A318268

Adjacent sequences: A064199 A064200 A064201 * A064203 A064204 A064205

Keyword

nonn,easy

Author

Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Sep 22 2001

Status

approved