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A139782 Binomial transform of A077947. 0
1, 2, 5, 15, 46, 139, 417, 1250, 3749, 11247, 33742, 101227, 303681, 911042, 2733125, 8199375, 24598126, 73794379, 221383137, 664149410, 1992448229, 5977344687, 17932034062, 53796102187, 161388306561, 484164919682, 1452494759045 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (4,-4,3).

FORMULA

a(n)=3a(n-1)-a(n-3)+3a(n-4).

O.g.f.: -(1-x)^2/((3x-1)(x^2-x+1)). a(n) = (4*3^n+3*A010892(n)-A010892(n-1)]/7. - R. J. Mathar, May 18 2008

MATHEMATICA

LinearRecurrence[{3, 0, -1, 3}, {1, 2, 5, 15}, 30](* Harvey P. Dale, Jan 12 2019 *)

CROSSREFS

Cf. A133405, A122392.

Sequence in context: A148359 A287582 A122392 * A047086 A071731 A268648

Adjacent sequences:  A139779 A139780 A139781 * A139783 A139784 A139785

KEYWORD

nonn

AUTHOR

Paul Curtz, May 16 2008

EXTENSIONS

More terms from R. J. Mathar, May 18 2008

STATUS

approved

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Last modified July 1 12:30 EDT 2022. Contains 354973 sequences. (Running on oeis4.)