The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A130584

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A130584

A007318 * A054522.
(history; published version)

#4 by R. J. Mathar at Wed Mar 09 06:30:01 EST 2016

STATUS

editing

approved

#3 by R. J. Mathar at Wed Mar 09 06:29:53 EST 2016

COMMENTS

Row sums = A001792, (1, 3, 8, 20, 48, 112,...) binomial transform of the natural numbers. Right border = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6, 4,...).

FORMULA

T(n,n)=A000010(n+1).

CROSSREFS

Cf. A007318, A054522, A001792, (row sums), A130585, A000010.

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:25:21 EDT 2012

AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Jun 06 2007

Discussion

Fri Mar 30

17:25

OEIS Server: https://oeis.org/edit/global/135

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

A007318 * A054522.

DATA

1, 2, 1, 4, 2, 2, 8, 4, 6, 2, 16, 8, 12, 8, 4, 32, 16, 22, 20, 20, 2, 64, 32, 42, 40, 60, 12, 6, 128, 64, 84, 72, 140, 42, 42, 4, 256, 128, 170, 128, 280, 112, 168, 32, 6, 512, 256, 342, 240, 508, 252, 504, 144, 54, 4

OFFSET

0,2

COMMENTS

Row sums = A001792, (1, 3, 8, 20, 48, 112,...) binomial transform of the natural numbers. Right border = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6, 4,...).

FORMULA

Binomial transform of A054522 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

4, 2, 2;

8, 4, 6, 2;

16, 8, 12, 8, 4;

32, 16, 22, 20, 20, 2;

64, 32, 42, 40, 60, 12, 6;

...

CROSSREFS

Cf. A007318, A054522, A001792, A130585, A000010.

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 06 2007

STATUS

approved