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A099607 Antidiagonal sums of triangle A099605, in which row n equals the inverse binomial transform of column n of the triangle A034870 of even-indexed rows of Pascal's triangle. +0
2
1, 2, 3, 9, 21, 40, 100, 225, 482, 1119, 2513, 5565, 12636, 28376, 63481, 143118, 321483, 721413, 1622729, 3645740, 8188668, 18406009, 41355654, 92914375, 208799157, 469157625, 1054150840, 2368736000, 5322460497, 11959337226 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (1+2*x+x^2-x^3)/(1-2*x^2-6*x^3-3*x^4+2*x^5+x^6).

PROGRAM

(PARI) {a(n)=polcoeff((1+2*x+x^2-x^3)/(1-2*x^2-6*x^3-3*x^4+2*x^5+x^6)+x*O(x^n), n)}

CROSSREFS

Cf. A099604, A099605, A034870.

Sequence in context: A001004 A015951 A101531 this_sequence A077550 A056780 A111360

Adjacent sequences: A099604 A099605 A099606 this_sequence A099608 A099609 A099610

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 25 2004

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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