A110635 -id:A110635 - cp's OEIS frontend

A111584 G.f.: A(x) = ( G(x)^7 - G(x^7) - 7x((1-x^6)/(1-x))/(1-x^7) )/(49*x^2) where G(x) is the g.f. of A110635.

1, 5, 23, 76, 242, 622, 1527, 3218, 6464, 11752, 20368, 33492, 52492, 80282, 118073, 170602, 242147, 336135, 463260, 627797, 841613, 1125132, 1481186, 1941049, 2526815, 3263039, 4198666, 5341194, 6774802, 8564045, 10712300, 13360856

Offset: 0

Paul D. Hanna, Aug 28 2005

nonn

A110635 is formed by selecting every 7th term of A083947; surpringly, the self-convolution 7th power of A110635 is congruent modulo 49 to A083947, which consists entirely of numbers 1 through 7.

Cf. A110635, A083947.

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

Original entry on oeis.org

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)}

cp's OEIS Frontend

A111584 G.f.: A(x) = ( G(x)^7 - G(x^7) - 7x((1-x^6)/(1-x))/(1-x^7) )/(49*x^2) where G(x) is the g.f. of A110635.

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Crossrefs

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

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Author

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Programs

PARI

cp's OEIS Frontend

A111584 G.f.: A(x) = ( G(x)^7 - G(x^7) - 7*x*((1-x^6)/(1-x))/(1-x^7) )/(49*x^2) where G(x) is the g.f. of A110635.

Views

Author

Keywords

Comments

Crossrefs

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

Views

Author

Keywords

Crossrefs

Programs

PARI

A111584 G.f.: A(x) = ( G(x)^7 - G(x^7) - 7x((1-x^6)/(1-x))/(1-x^7) )/(49*x^2) where G(x) is the g.f. of A110635.