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A110649
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Every 2-nd term of A084067 where the self-convolution 2-nd power is congruent modulo 8 to A084067, which consists entirely of numbers 1 through 12.
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5
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1, 6, 9, 4, 12, 6, 6, 12, 12, 8, 9, 12, 12, 6, 6, 10, 6, 12, 2, 6, 6, 12, 12, 12, 8, 12, 3, 4, 12, 12, 9, 6, 6, 4, 12, 12, 2, 6, 3, 6, 3, 6, 7, 6, 9, 8, 9, 12, 12, 12, 3, 12, 3, 6, 2, 6, 12, 2, 6, 6, 3, 12, 9, 4, 3, 12, 4, 12, 6, 2, 3, 12, 9, 6, 6, 6, 3, 6, 10, 6, 6, 6, 9, 6, 12, 12, 9, 2, 12, 6, 9
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| A(x) = 1 + 6*x + 9*x^2 + 4*x^3 + 12*x^4 + 6*x^5 +...
A(x)^2 = 1 + 12*x + 54*x^2 + 116*x^3 + 153*x^4 + 228*x^5 +...
A(x)^2 (mod 8) = 1 + 4*x + 6*x^2 + 4*x^3 + x^4 + 4*x^5 +...
G(x) = 1 + 12*x + 6*x^2 + 4*x^3 + 9*x^4 + 12*x^5 + 4*x^6 +...
where G(x) is the g.f. of A084067.
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PROG
| (PARI) {a(n)=local(d=2, m=12, A=1+m*x); for(j=2, d*n, for(k=1, m, t=polcoeff((A+k*x^j+x*O(x^j))^(1/m), j); if(denominator(t)==1, A=A+k*x^j; break))); polcoeff(A, d*n)}
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CROSSREFS
| Cf. A084067, A110645, A110646, A110647, A110648.
Sequence in context: A007332 A131691 A021063 * A037024 A021939 A069864
Adjacent sequences: A110646 A110647 A110648 * A110650 A110651 A110652
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Aug 30 2005
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