A110649 Every 2nd term of A084067 where the self-convolution 2nd power is congruent modulo 8 to A084067, which consists entirely of numbers 1 through 12.

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

Offset

0,2

Links

Table of n, a(n) for n=0..90.

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.

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)}

Crossrefs

Cf. A084067, A110645, A110646, A110647, A110648.

Sequence in context: A350817 A021063 A216638 * A037024 A309343 A254276

Adjacent sequences: A110646 A110647 A110648 * A110650 A110651 A110652

Keyword

nonn

Author

Robert G. Wilson v and Paul D. Hanna, Aug 30 2005

Status

approved