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A111608 Sixth column of A109626. +0
2
1, 1, 3, 4, 5, 6, 7, 4, 3, 5, 11, 4, 13, 14, 10, 8, 17, 3, 19, 20, 21, 22, 23, 12, 25, 13, 9, 28, 29, 10, 31, 16, 22, 17, 35, 24, 37, 38, 39, 20, 41, 21, 43, 44, 15, 46, 47, 40, 49, 25, 34, 52, 53, 36, 55, 28, 57, 29, 59, 60, 61, 62, 21, 32, 65, 55, 67, 68, 46, 70, 71, 12, 73, 37 (list; graph; listen)
OFFSET

1,3

FORMULA

G.f.: Q(x)/(1-x^72)^2 where Q(x) is 142-degree polynomial: Q(x)=1+x+3x^2+4x^3+5x^4+6x^5+7x^6+4x^7+...

MATHEMATICA

f[n_] := f[n] = Block[{a}, a[0] = 1; a[l_] := a[l] = Block[{k = 1, s = Sum[ a[i]*x^i, {i, 0, l - 1}]}, While[ IntegerQ[ Last[ CoefficientList[ Series[(s + k*x^l)^(1/n), {x, 0, l}], x]]] != True, k++ ]; k]; Table[a[j], {j, 0, 128}]]; g[n_, m_] := f[n][[m]]; Table[g[n, 6 + 1], {n, 74}]

CROSSREFS

Cf. A109626.

Sequence in context: A036288 A159077 A049267 this_sequence A126800 A067628 A095254

Adjacent sequences: A111605 A111606 A111607 this_sequence A111609 A111610 A111611

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 01 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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