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A111614
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First upper diagonal of array in A109626.
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1
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1, 1, 1, 3, 1, 6, 1, 7, 1, 3, 1, 6, 1, 3, 12, 3, 1, 6, 1, 11, 18, 3, 1, 24, 1, 3, 1, 8, 1, 21, 1, 11, 20, 20, 23, 16, 1, 22, 34, 21, 1, 14, 1, 22, 24, 26, 1, 2, 1, 43, 6, 26, 1, 33, 17, 46, 43, 32, 1, 25, 1, 34, 47, 35, 63, 25, 1, 8, 49, 31, 1, 48, 1, 40, 32, 73, 21, 58, 1, 80, 28, 44, 1, 29
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| a(1)=a(2)=1 & a(p^e)=1 for odd primes p and non-composite exponents e.
a(81)=28 and not 1 because 9^2=81.
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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, n + 1], {n, 84}]
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CROSSREFS
| Cf. A109626.
Sequence in context: A040011 A066446 A069625 * A193279 A076889 A134689
Adjacent sequences: A111611 A111612 A111613 * A111615 A111616 A111617
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 30 2005
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