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A126694
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G.f.: 1/(1-7*x*c(x)) where c(x) is the g.f. for A000108.
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5
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1, 7, 56, 455, 3710, 30282, 247254, 2019087, 16488710, 134656130, 1099686056, 8980749862, 73342721956, 598965319960, 4891549246290, 39947649057855, 3262391226611830, 2664286127154330, 21758336553841440, 177693081299126610
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The Hankel transform of this sequence is 7^n =[1, 7, 49, 343, 2401, ...] . The Hankel transform of the aerated sequence with g.f. 1/(1-7*x^2*c(x^2)) is also 7^n.
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FORMULA
| a(0)=1, a(n)=(49*a(n-1)-7*A000108(n-1))/6 for n>=1 . a(n)=Sum_{k, 0<=k<=n}A106566(n,k)*7^k . a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*6^k.
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CROSSREFS
| Cf. A000108, A000984, A007854, A076035, A076036, A127628, A115970.
Sequence in context: A152776 A155197 A147839 * A024091 A145302 A165322
Adjacent sequences: A126691 A126692 A126693 * A126695 A126696 A126697
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 14 2007
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