A086444 - OEIS

A086444

Sequence associated with palindromic structures.

1, 3, 10, 37, 150, 653, 2990, 14157, 68470, 335533, 1657470, 8227277, 40957190, 204250413, 1019649550, 5093448397, 25452860310, 127221189293, 635976675230, 3179495693517, 15896315681830, 79478090576173, 397379990430510

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OFFSET

0,2

COMMENTS

Binomial transform of A007581. Second binomial transform of A007051 (with extra leading 1).

Hankel transform is := [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...]. - Philippe Deléham, Dec 04 2008

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (10,-31,30).

FORMULA

G.f.: (1-7x+11x^2)/((1-2x)(1-3x)(1-5x));

a(n) = 2^n/3 + 3^n/2 + 5^n/6.

MATHEMATICA

LinearRecurrence[{10, -31, 30}, {1, 3, 10}, 30] (* Harvey P. Dale, Sep 14 2019 *)

CROSSREFS

Sequence in context: A044048 A192240 A231894 * A064613 A270789 A005493

Adjacent sequences: A086441 A086442 A086443 * A086445 A086446 A086447

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 20 2003

STATUS

approved