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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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A194451 Partition numbers of positive integers and positive integers interleaved.

Original entry on oeis.org

1, 1, 2, 2, 3, 3, 5, 4, 7, 5, 11, 6, 15, 7, 22, 8, 30, 9, 42, 10, 56, 11, 77, 12, 101, 13, 135, 14, 176, 15, 231, 16, 297, 17, 385, 18, 490, 19, 627, 20, 792, 21, 1002, 22, 1255, 23, 1575, 24, 1958, 25, 2436, 26, 3010, 27, 3718, 28, 4565, 29, 5604, 30
Offset: 1

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Author

Omar E. Pol, Nov 01 2011

Keywords

Comments

First differences of A194450. The length of the edges in a rectangular spiral whose vertices are the numbers A194450. The spiral contains exactly between its edges the successive last sections of the partitions of the natural numbers. For more information see A135010 and A138121.

Crossrefs

Cf. A000041, A194450.

Formula

a(2n-1) = p(n), a(2n) = n.
a(2n-1) = A000041(n), a(2n) = A000027(n).
a(2n-1) + a(2n) = A133041(n).
a(2n-1) - a(2n) = A000094(n+1).
a(2n-1) * a(2n) = A066186(n).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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