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Search: id:A112284
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| 1, 1, 1, 2, 1, 12, 1, 3, 1, 13, 1, 22, 1, 12, 14, 19, 1, 9, 1, 27, 18, 31, 1, 19, 1, 49, 1, 12, 1, 59, 1, 17, 61, 27, 15, 14, 1, 98, 6, 7, 1, 12, 1, 95, 45, 9, 1, 17, 1, 26, 73, 23, 1, 18, 10, 35, 69, 17, 1, 108, 1, 29, 65, 28, 47
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OFFSET
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1,4
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FORMULA
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Conjecture: a(n)=1 iff n is 1, a prime or the square of an odd prime.
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MATHEMATICA
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f[n_] := Module[{j = 1, 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]; While[a[j] != 1, j++ ]; j]; Table[ f[n]/n, {n, 10}]
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CROSSREFS
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Cf. A109626, A112283.
Sequence in context: A069566 A066818 A005730 this_sequence A167401 A069249 A128247
Adjacent sequences: A112281 A112282 A112283 this_sequence A112285 A112286 A112287
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KEYWORD
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hard,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 20 2005
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EXTENSIONS
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a(30)-a(50) from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 29 2007
a(51)-a(65) More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 25 2008
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