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.

Showing 1-2 of 2 results.

A321326 G.f. satisfies: A(x) = (1 - x) * Product_{k>0} A(x^(2*k)) / Product_{k>1} A(x^(2*k-1)).

Original entry on oeis.org

1, -1, -1, 2, -3, 2, 4, -6, -2, 5, 0, -3, 15, -13, -19, 27, -14, 4, 25, -33, -3, 7, 6, 15, 33, -48, -58, 69, -94, 119, 117, -245, 60, -3, -36, 170, 140, -237, -305, 300, -161, 248, 356, -554, 8, -263, 340, 469, -94, -25, -945, 102, -68, 1200, 694, -1786, 225, -974
Offset: 0

Views

Author

Seiichi Manyama, Nov 05 2018

Keywords

Crossrefs

Formula

G.f.: Product_{k>0} (1 - x^k)^A067856(k).
Product_{k>0} A(x^k) = Product_{k>=0} (1 - x^(2^k))^(2^k). (Cf. A321327.)

A321336 Expansion of Product_{k>=0} (1 - x^(2^k))^(2^(k+1)).

Original entry on oeis.org

1, -2, -3, 8, -6, 4, 26, -56, -7, 70, -51, 32, 120, -272, -200, 672, -182, -308, 1026, -1744, -660, 3064, -916, -1232, 2466, -3700, -3990, 11680, -1416, -8848, 13752, -18656, -8503, 35662, -14331, -7000, 27122, -47244, -29870, 106984, -25895, -55194, 140173, -225152
Offset: 0

Views

Author

Seiichi Manyama, Nov 05 2018

Keywords

Crossrefs

Formula

Equals the self-convolution of A321327.
G.f.: A(x) satisfies A(x) = ((1 - x) * A(x^2))^2, with A(0) = 1.
a(n) = A321327(2*n) for n >= 0.
Showing 1-2 of 2 results.