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A143690
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A007318 * [1, 6, 14, 9, 0, 0, 0,...]
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1
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1, 7, 27, 70, 145, 261, 427, 652, 945, 1315, 1771, 2322, 2977, 3745, 4635, 5656, 6817, 8127, 9595, 11230, 13041, 15037, 17227, 19620, 22225, 25051, 28107, 31402, 34945, 38745, 42811, 47152, 51777, 56695, 61915, 67446, 73297, 79477, 85995, 92860
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| Binomial transform of [1, 6, 14, 9, 0, 0, 0,...]. Equals row sums of triangle A033292.
G.f.: (1+3x+5x^2)/(1-x)^4. a(n)=A002412(n+1)+5*A0000292(n-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 29 2008]
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EXAMPLE
| a(3) = 70 = (1, 3, 3, 1) dot (1, 6, 14, 9) = (1 + 18 + 42 + 9). a(3) = 70 = sum of row 3 terms of triangle A03392: (13 + 16 + 19, + 22).
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CROSSREFS
| A033292
Sequence in context: A022271 A159065 A098931 * A007715 A161439 A039623
Adjacent sequences: A143687 A143688 A143689 * A143691 A143692 A143693
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 29 2008
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EXTENSIONS
| Extended beyond a(14) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 29 2008
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