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A110647
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Every 4-th term of A084067 where the self-convolution 4-th power is congruent modulo 8 to A084067, which consists entirely of numbers 1 through 12.
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4
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1, 9, 12, 6, 12, 9, 12, 6, 6, 2, 6, 12, 8, 3, 12, 9, 6, 12, 2, 3, 3, 7, 9, 9, 12, 3, 3, 2, 12, 6, 3, 9, 3, 4, 6, 3, 9, 6, 3, 10, 6, 9, 12, 9, 12, 9, 9, 6, 2, 9, 12, 5, 3, 6, 12, 9, 6, 9, 12, 6, 8, 6, 12, 10, 9, 12, 1, 9, 3, 9, 12, 6, 7, 12, 12, 2, 9, 3, 9, 12, 12, 4, 9, 9, 11, 6, 6, 1, 9, 6, 10, 3, 12
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..92.
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EXAMPLE
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A(x) = 1 + 9*x + 12*x^2 + 6*x^3 + 12*x^4 + 9*x^5 +...
A(x)^4 = 1 + 36*x + 534*x^2 + 4236*x^3 + 19785*x^4 +...
A(x)^4 (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
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(PARI) {a(n)=local(d=4, 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
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Cf. A084067, A110645, A110646, A110648, A110649.
Sequence in context: A159003 A196509 A124606 * A032687 A170951 A044859
Adjacent sequences: A110644 A110645 A110646 * A110648 A110649 A110650
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v and Paul D. Hanna, Aug 30 2005
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STATUS
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approved
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