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A092897 Expansion of (1-x-x^2-3*x^3) / ((1+x)^2*(1-3*x)). 2
1, 0, 4, 4, 24, 56, 188, 540, 1648, 4912, 14772, 44276, 132872, 398568, 1195756, 3587212, 10761696, 32285024, 96855140, 290565348, 871696120, 2615088280, 7845264924, 23535794684, 70607384144, 211822152336, 635466457108, 1906399371220, 5719198113768, 17157594341192 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform is A092896.

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,5,3).

FORMULA

a(n) = 3^n/4 + 0^n - (-1)^n/4 + n(-1)^n.

a(n) = a(n-1) + 5*a(n-2) + 3*a(n-3) for n>3. - Colin Barker, Nov 25 2016

PROG

(PARI) Vec((1 - x - x^2 - 3*x^3) / ((1 + x)^2 * (1 - 3*x)) + O(x^30)) \\ Colin Barker, Nov 25 2016

CROSSREFS

Sequence in context: A049614 A269186 A058166 * A269152 A269097 A171633

Adjacent sequences:  A092894 A092895 A092896 * A092898 A092899 A092900

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 12 2004

STATUS

approved

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Last modified June 26 21:02 EDT 2017. Contains 288766 sequences.