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A054460
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A001333(n), n >= 1, convolved twice with itself.
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2
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1, 9, 48, 204, 765, 2649, 8680, 27312, 83313, 247985, 723624, 2077164, 5880797, 16454865, 45577200, 125130432, 340882113, 922265721, 2479938368, 6631802220, 17646603933, 46744464745, 123314065944, 324085913136, 848801213425
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)= A054458(n+2,2) (third column of convolution triangle).
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FORMULA
| a(n)= (n+1)*(LP2(n+1)+2*LP2(n)+LP2(n-1))/8, n >= 1, LP2(n)=A054459(n), a(0)=1.
a(n)= (n+1)*((10*n+11)*LP(n)+(4*n+5)*LP(n-1))/16, n >= 1, LP(n)=A001333(n+1).
G.f.: ((1+x)/(1-2*x-x^2))^3.
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CROSSREFS
| Cf. A054458, A054459, A001333, A002203.
Sequence in context: A073979 A018984 A055582 * A115053 A171011 A073584
Adjacent sequences: A054457 A054458 A054459 * A054461 A054462 A054463
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 26 2000
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