A213432 a(n) = 2^(n-3)*binomial(n,4). (Formerly N0837)

0, 0, 0, 0, 2, 20, 120, 560, 2240, 8064, 26880, 84480, 253440, 732160, 2050048, 5591040, 14909440, 38993920, 100270080, 254017536, 635043840, 1568931840, 3835166720, 9285140480, 22284337152, 53057945600, 125409689600, 294440140800, 687026995200, 1593902628864, 3678236835840, 8446321623040, 19305877995520, 43937515438080, 99591701659648

Offset

0,5

References

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

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-40,80,-80,32).

Formula

G.f.: -2*x^4 / (2*x-1)^5. - Colin Barker, Jul 22 2013

a(n) = 2*A003472(n). - R. J. Mathar, Jun 18 2014

Mathematica

A213432[n_] := 2^(n-3)*Binomial[n, 4]; Array[A213432, 35, 0] (* or *)
LinearRecurrence[{10, -40, 80, -80, 32}, {0, 0, 0, 0, 2}, 35] (* Paolo Xausa, Feb 22 2024 *)

Crossrefs

Sequence in context: A203238 A061004 A278772 * A219837 A219759 A196797

Adjacent sequences: A213429 A213430 A213431 * A213433 A213434 A213435

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 11 2012

Status

approved