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A223539 List of entries in the compressed nim-multiplication table (A223537). 3
1, 2, 3, 4, 5, 8, 10, 12, 15, 16, 17, 32, 34, 48, 51, 64, 68, 80, 85, 96, 128, 136, 160, 170, 176, 192, 204, 208, 240, 255, 256, 257, 512, 514, 768, 771, 1024, 1028, 1280, 1285, 2048, 2056, 2560, 2570, 3072, 3084, 3840, 3855, 4096, 4112, 4352 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

List of entries in the compressed nim-multiplication table (A223537).

The first 1, 3, 9, 30, 108, 402, 1548, 6072, 24048, ... entries are the distinct entries of A223537-submatrices of size 1, 2, 4, 8, 16, 32, 64, 128, 256, ... (A000079).

LINKS

Tilman Piesk, Table of n, a(n) for n = 1..6072

Tilman Piesk, Table of n, a(n) for n = 1..24048

Tilman Piesk, Detailed list, including the entries' positions in the matrix

Tilman Piesk, Walsh permutation; nimber multiplication (Wikiversity)

FORMULA

A223537(m,n) = a(A223538(m,n)).

EXAMPLE

Biggest entry of 8 X 8 submatrix of A223537 is A223537(7,7) = a(29) = 255.

Biggest entry of 16 X 16 submatrix of A223537 is A223537(15,15) = a(107) = 65535.

CROSSREFS

Cf. A223537, A223538.

Sequence in context: A155736 A074897 A090556 * A332520 A211544 A325109

Adjacent sequences:  A223536 A223537 A223538 * A223540 A223541 A223542

KEYWORD

nonn

AUTHOR

Tilman Piesk, Mar 21 2013

STATUS

approved

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Last modified February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)