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A132737 2*A132735 - A000012. +0
2
1, 1, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 13, 9, 1, 1, 11, 21, 21, 11, 1, 1, 13, 31, 41, 31, 13, 1, 1, 15, 43, 71, 71, 43, 15, 1, 1, 17, 57, 113, 141, 113, 57, 17, 1, 1, 19, 73, 169, 253, 253, 169, 73, 19, 1, 1, 21, 91, 241, 421, 505, 421, 241, 91, 21, 1, 1, 23, 111, 331, 661, 925, 925 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Row sums = A132738: (1, 2, 7, 16, 33, 66, 131,...).

FORMULA

2*A132735 - A000012 as infinite lower triangular matrices.

T(n,0) = T(n,n) = 1; otherwise T(n,k) = 2*C(n,k) + 1. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 06 2009]

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

1, 5, 1;

1, 7, 7, 1;

1, 9, 13, 9, 1;

1, 11, 21, 21, 11, 1;

1, 13, 31, 41, 31, 13, 1;

1, 15, 43, 71, 71, 43, 15, 1;

...

CROSSREFS

Cf. A132735, A132738.

Sequence in context: A111720 A029646 A152721 this_sequence A137754 A131404 A078181

Adjacent sequences: A132734 A132735 A132736 this_sequence A132738 A132739 A132740

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 26 2007

EXTENSIONS

Extended by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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