A088626 a(n) = 42*binomial(n,10).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 462, 2772, 12012, 42042, 126126, 336336, 816816, 1837836, 3879876, 7759752, 14814072, 27159132, 48050772, 82372752, 137287920, 223092870, 354323970, 551170620, 841260420, 1261890630, 1862790930, 2709514080, 3887563680

Offset: 0

Author

N. J. A. Sloane, Nov 23 2003

Keywords

• nonn
• easy

References

• Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 449.
• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

A diagonal of A088617.

Programs

Mathematica

42Binomial[Range[0,40],10] (* Harvey P. Dale, Apr 19 2020 *)

PARI

a(n)=42*binomial(n,10) \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: 42*x^10/(1-x)^11. - Colin Barker, Oct 30 2012