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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A331587 Odd numbers of the form k * reverse(k) (where reverse(k) is the binary reversal of k, A030101(k)).

Original entry on oeis.org

1, 9, 25, 49, 81, 143, 225, 289, 441, 475, 667, 729, 961, 1089, 1517, 1715, 2025, 2223, 2279, 2601, 2867, 3245, 3969, 4225, 5329, 5589, 6499, 6853, 7225, 7875, 8023, 8383, 8649, 9559, 9801, 9919, 10179, 11449, 11845, 11875, 13653, 14161, 16129, 16641, 19865
Offset: 1

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Author

Rémy Sigrist, Jan 21 2020

Keywords

Comments

A192775 is a subsequence.

Examples

			The binary representations of 11 and of 13 are "1011" and "1101", respectively, so 11*13 = 143 belongs to the sequence.
		

Crossrefs

Programs

  • PARI
    is(n) = if (n%2, fordiv (n, d, if (d*fromdigits(Vecrev(binary(d)),2)==n, return (1)))); return (0)

A331589 a(n) is the greatest k such that A331587(n) = k * reverse(k) (where reverse(k) is the binary reversal of k, A030101(k)).

Original entry on oeis.org

1, 3, 5, 7, 9, 13, 15, 17, 21, 25, 29, 27, 31, 33, 41, 49, 45, 57, 53, 51, 61, 59, 63, 65, 73, 81, 97, 89, 85, 105, 113, 101, 93, 121, 99, 109, 117, 107, 115, 125, 123, 119, 127, 129, 145, 161, 153, 177, 169, 193, 165, 185, 209, 201, 225, 181, 197, 217, 241
Offset: 1

Views

Author

Rémy Sigrist, Jan 21 2020

Keywords

Crossrefs

Programs

  • PARI
    See Links section.

Formula

a(n) = A030101(A331588(n)).
a(n) * A331588(n) = A331587(n).
Showing 1-2 of 2 results.