A213380 a(n) = 132*binomial(n,12). (Formerly N2345)

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 1716, 12012, 60060, 240240, 816816, 2450448, 6651216, 16628040, 38798760, 85357272, 178474296, 356948592, 686439600, 1274816400, 2294669520, 4015671660, 6850263420, 11417105700, 18627909300, 29804654880, 46835886240, 72382733280, 110147637600, 165221456400, 244527755472, 357386719536, 516225261552, 737464659360

Offset

0,13

References

Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 450.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Links

Table of n, a(n) for n=0..40.

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Formula

G.f.: -132*x^12 / (x-1)^13. - Colin Barker, Jul 22 2013

a(n) = 132*A010965(n). - R. J. Mathar, Jul 15 2015

Mathematica

132*Binomial[Range[0, 40], 12] (* Harvey P. Dale, Feb 16 2020 *)

Prog

(Magma) [132*Binomial(n, 12):n in [0..40]]; // Vincenzo Librandi, Feb 17 2020

Crossrefs

Cf. A010965, A000217, A034827, A000910, A088625, A088626. A column of A088617.

Sequence in context: A239598 A033278 A362104 * A119982 A233066 A282751

Adjacent sequences: A213377 A213378 A213379 * A213381 A213382 A213383

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 10 2012. This sequence was in the 1973 "Handbook", but was later dropped from the database. I have now reinstated it. - N. J. A. Sloane, Jun 10 2012

Status

approved