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 1-3 of 3 results.

A342252 Number of ways to write n as an ordered sum of nine powers of 2.

Original entry on oeis.org

1, 9, 36, 93, 198, 378, 624, 927, 1341, 1849, 2412, 3159, 4074, 4950, 5904, 7032, 8010, 9018, 10488, 11970, 13356, 15108, 16848, 18315, 20085, 22257, 24444, 26671, 28674, 30510, 32208, 33282, 34974, 37590, 39384, 40986, 43668, 45468, 46512, 49620, 53298, 55890, 59304, 62442
Offset: 9

Views

Author

Ilya Gutkovskiy, Mar 07 2021

Keywords

Crossrefs

Cf. A000079, A023359, A073267, A151759, A151760, A151761, A151762, A209229, A342249, A342250, A342251, A342254.

Programs

  • Mathematica
    nmax = 52; CoefficientList[Series[Sum[x^(2^k), {k, 0, Floor[Log[2, nmax]] + 1}]^9, {x, 0, nmax}], x] // Drop[#, 9] &

Formula

G.f.: ( Sum_{k>=0} x^(2^k) )^9.

A342247 Number of partitions of n into seven powers of 2.

Original entry on oeis.org

1, 1, 1, 2, 2, 2, 3, 4, 3, 4, 4, 4, 4, 5, 4, 6, 5, 6, 6, 7, 5, 8, 6, 7, 6, 8, 5, 7, 5, 7, 6, 9, 6, 9, 7, 9, 7, 11, 8, 10, 7, 10, 7, 10, 6, 11, 8, 10, 7, 12, 7, 10, 7, 11, 7, 10, 5, 9, 5, 8, 5, 10, 7, 10, 6, 11, 9, 12, 8, 14, 9, 11, 7, 13, 8, 12, 8, 14, 10, 13, 8, 15, 9, 13
Offset: 7

Views

Author

Ilya Gutkovskiy, Mar 07 2021

Keywords

Crossrefs

Column k=7 of A089052.
Cf. A000079, A000123, A018819, A075897, A089048, A089049, A089050, A089051, A209229, A319922, A342248, A342249, A342250.

A342248 Number of partitions of n into eight powers of 2.

Original entry on oeis.org

1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 8, 7, 8, 8, 10, 7, 10, 8, 9, 7, 10, 7, 10, 9, 11, 9, 12, 9, 13, 11, 14, 10, 14, 10, 13, 10, 14, 11, 15, 10, 15, 12, 15, 10, 17, 11, 14, 10, 15, 9, 13, 8, 14, 10, 14, 10, 16, 11, 16, 12, 18, 14, 18, 11, 18, 13, 17, 12, 20
Offset: 8

Views

Author

Ilya Gutkovskiy, Mar 07 2021

Keywords

Crossrefs

Column k=8 of A089052.
Cf. A000079, A000123, A018819, A075897, A089048, A089049, A089050, A089051, A209229, A319922, A342247, A342249, A342251.
Showing 1-3 of 3 results.

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

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