The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A213380 a(n) = 132*binomial(n,12). (Formerly N2345) 0
 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 (list; graph; refs; listen; history; text; internal format)
 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 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: A090199 A239598 A033278 * 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 12:40 EST 2022. Contains 358586 sequences. (Running on oeis4.)