A122503 a(n) = 22*a(n - 2) + 54*a(n - 3) + 38*a(n - 4).

1, 1, 1, 1, 114, 114, 2600, 8702, 67688, 336176, 2057844, 11381700, 65998216, 374295664, 2144770624, 12230912872, 69904851792, 399120932112, 2279877318224, 13020297192368, 74366215703072, 424726508836448

Offset

1,5

References

R. G. Newton, Scattering Theory of Waves and Particles, McGraw Hill, New York, 1966, Page 557ff.

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (0,22,54,38).

Formula

G.f.: x*(75*x^3+21*x^2-x-1)/(38*x^4+54*x^3+22*x^2-1). [Colin Barker, Nov 02 2012]

Mathematica

LinearRecurrence[{0, 22, 54, 38}, {1, 1, 1, 1}, 30] (* Harvey P. Dale, Jul 05 2017 *)

Crossrefs

Sequence in context: A180052 A106748 A220983 * A076150 A294309 A138693

Adjacent sequences: A122500 A122501 A122502 * A122504 A122505 A122506

Keyword

nonn,easy

Author

Roger L. Bagula, Sep 15 2006

Extensions

Edited by N. J. A. Sloane, Sep 17 2006

Status

approved