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A131322 Row sums of triangle A131321. 1
1, 1, 3, 5, 12, 23, 51, 103, 221, 456, 965, 2009, 4227, 8833, 18540, 38803, 81363, 170399, 357145, 748176, 1567849, 3284833, 6883059, 14421533, 30218028, 63314735, 132664227, 277968871, 582428789, 1220356440, 2557009709 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Equals INVERT transform of (1, 2, 0, 1, 0, 1, 0, 1,...) [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 28 2009]

FORMULA

G.f.: (1-x^2)/(1-x-3x^2+x^3+x^4). - DELEHAM Philippe, Jan 21 2012

a(n) = a(n-1) + 3*a(n-2) - a(n-3) - a(n-4), a(0)=1, a(1)=1, a(2)=3, a(3)=5 . - DELEHAM Philippe, Jan 21 2012

EXAMPLE

a(4) = 12 = (5 + 0 + 6 + 0 + 1).

CROSSREFS

Cf. A131321.

Sequence in context: A013498 A161624 A034758 * A036657 A047761 A026786

Adjacent sequences:  A131319 A131320 A131321 * A131323 A131324 A131325

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 28 2007

EXTENSIONS

a(n), n>9 from DELEHAM Philippe, Jan 21 2012

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Last modified February 16 19:48 EST 2012. Contains 205955 sequences.