cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A111583 G.f.: A(x) = ( G(x)^5 - G(x^5) - 5*x*((1-x^4)/(1-x))/(1-x^5) )/(25*x^2) where G(x) is the g.f. of A110631.

Original entry on oeis.org

1, 4, 14, 38, 93, 202, 400, 736, 1260, 2046, 3158, 4676, 6672, 9231, 12441, 16353, 21130, 26779, 33463, 41379, 50568, 61238, 73726, 88348, 104915, 124266, 146833, 172020, 200771, 233777, 270598, 310894, 356778, 407734, 462317, 523410, 591008
Offset: 0

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Author

Paul D. Hanna, Aug 28 2005

Keywords

Comments

A110631 is formed by selecting every 5th term of A083945; surprisingly, the self-convolution 5th power of A110631 is congruent modulo 25 to A083945, which consists entirely of numbers 1 through 5.

Crossrefs

Cf. A110631, A083945.

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

Views

Author

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

Keywords

Crossrefs

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

Programs

  • PARI
    {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)}
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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