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

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

Author

N. J. A. Sloane, Jun 11 2012

Keywords

• nonn
• easy

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).

Programs

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 *)

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