A132823 - OEIS

A132823

A007318 + 2*A103451 - 2*A000012.

1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 2, 1, 1, 3, 8, 8, 3, 1, 1, 4, 13, 18, 13, 4, 1, 1, 5, 19, 33, 33, 19, 5, 1, 1, 6, 26, 54, 68, 54, 26, 6, 1, 1, 7, 34, 82, 124, 124, 82, 34, 7, 1, 1, 8, 43, 118, 208, 250, 208, 118, 43, 8, 1, 1, 9, 53, 163, 328, 460, 460, 328, 163, 53, 9, 1

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OFFSET

0,12

COMMENTS

Row sums = A132824: (1, 2, 2, 4, 10, 24, 54, 116, 242, ...).

LINKS

Table of n, a(n) for n=0..77.

FORMULA

A007318 + 2*A103451 - 2*A000012 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle:

1, 1;

1, 0, 1;

1, 1, 1, 1;

1, 2, 4, 2, 1;

1, 3, 8, 8, 3, 1;

1, 4, 13, 18, 13, 4, 1;

1, 5, 19, 33, 33, 19, 5, 1;

1, 6, 26, 54, 68, 54, 26, 6, 1;

1, 7, 34, 82, 124, 124, 82, 34, 7, 1;

...

CROSSREFS

Cf. A007318, A103451, A000012, A132824.

A(2n,n) gives A115112 for n>0.

Sequence in context: A052285 A046858 A225812 * A059317 A322046 A247644

Adjacent sequences: A132820 A132821 A132822 * A132824 A132825 A132826

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 02 2007

EXTENSIONS

One missing 1 inserted and more terms added by Alois P. Heinz, Feb 10 2019

STATUS

approved