A110634 -id:A110634 - cp's OEIS frontend

A110632 Every 6th term of A083946 starting from position 0.

1, 6, 6, 3, 6, 2, 6, 4, 4, 6, 3, 2, 1, 2, 3, 1, 6, 6, 1, 2, 6, 4, 2, 4, 2, 6, 2, 4, 2, 6, 5, 2, 2, 1, 5, 3, 6, 6, 2, 5, 3, 1, 4, 5, 4, 6, 2, 4, 3, 1, 6, 2, 3, 3, 6, 4, 1, 6, 3, 2, 5, 3, 3, 3, 6, 6, 5, 4, 2, 5, 3, 2, 4, 3, 3, 2, 6, 6, 3, 1, 5, 3, 6, 2, 4, 2, 6, 5, 4, 3, 3, 1, 4, 2, 4, 3, 3, 6, 3, 5, 5, 4, 4, 6, 4

Offset: 0

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

nonn

Cf. A083946, A110633, A110634, A110631 (m=5), A110635 (m=7).

{a(n)=local(d=6,m=6,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)}

A110633 Every third term of A083946 where the self-convolution third power is congruent modulo 9 to A083946, which consists entirely of numbers 1 through 6.

Original entry on oeis.org

1, 2, 6, 4, 6, 4, 3, 2, 6, 4, 2, 6, 6, 4, 4, 2, 4, 2, 6, 4, 3, 4, 2, 6, 1, 4, 2, 2, 3, 4, 1, 6, 6, 2, 6, 6, 1, 6, 2, 6, 6, 2, 4, 6, 2, 4, 4, 4, 2, 6, 6, 2, 2, 6, 4, 4, 2, 6, 6, 4, 5, 4, 2, 6, 2, 4, 1, 2, 5, 2, 3, 4, 6, 6, 6, 6, 2, 4, 5, 2, 3, 2, 1, 2, 4, 2, 5, 2, 4, 2, 6, 2, 2, 4, 4, 4, 3, 2, 1, 2, 6, 6, 2, 6, 3

Offset: 0

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

nonn

			A(x) = 1 + 2*x + 6*x^2 + 4*x^3 + 6*x^4 + 4*x^5 + 3*x^6 + ...
A(x)^3 = 1 + 6*x + 30*x^2 + 92*x^3 + 246*x^4 + 492*x^5 + ...
A(x)^3 (mod 9) = 1 + 6*x + 3*x^2 + 2*x^3 + 3*x^4 + 6*x^5 + ...
G(x) = 1 + 6*x + 3*x^2 + 2*x^3 + 3*x^4 + 6*x^5 + ...
where G(x) is the g.f. of A083946.

Cf. A083946, A110632, A110634.

{a(n)=local(d=3,m=6,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)}

cp's OEIS Frontend

A110632 Every 6th term of A083946 starting from position 0.

Views

Author

Keywords

Crossrefs

Programs

PARI