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A083327 (5^n-4^n+3^n-2^n)/2. 1
0, 1, 7, 40, 217, 1156, 6097, 31900, 165697, 855076, 4387537, 22404460, 113945377, 577590196, 2919923377, 14729076220, 74167952257, 372944296516, 1873182473617, 9399885079180, 47135702874337, 236224784974036 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of A053154 (with leading zero).

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (14,-71,154,-120).

FORMULA

G.f. x(1-7x+13x^2)/((1-2x)(1-3x)(1-4x)(1-5x)).

E.g.f. exp(5x)-exp(4x)+exp(3x)-exp(2x)

a(n)=14*a(n-1)-71*a(n-2)+154*a(n-3)- 120*a(n-4), n>3. - Harvey P. Dale, Apr 04 2013

MATHEMATICA

Table[(5^n-4^n+3^n-2^n)/2, {n, 0, 30}] (* or *) LinearRecurrence[{14, -71, 154, -120}, {0, 1, 7, 40}, 30] (* Harvey P. Dale, Apr 04 2013 *)

CROSSREFS

Cf. A083328.

Sequence in context: A268402 A081039 A227748 * A026716 A026782 A099459

Adjacent sequences:  A083324 A083325 A083326 * A083328 A083329 A083330

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 27 2003

STATUS

approved

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Last modified August 18 22:21 EDT 2017. Contains 290770 sequences.