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A143593 Triangle read by rows, square of an infinite lower triangular matrix with 1's in the first column and the rest 2's. +0
2
1, 3, 4, 5, 8, 4, 7, 12, 8, 4, 9, 16, 12, 8, 4, 11, 20, 16, 12, 8, 4, 13, 24, 20, 16, 12, 8, 4, 15, 28, 24, 20, 16, 12, 8, 4, 17, 32, 28, 24, 20, 16, 12, 8, 4, 19, 36, 32, 28, 24, 20, 16, 12, 8, 4 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A056220 starting with offset 1: (1, 7, 17, 31, 49, 71, 97,...).

FORMULA

Triangle read by rows, square of an infinite lower triangular matrix with 1's in the first column and the rest 2's. Square of (A000012 * (S(k) * 0^(n-k)), 1<=k<=n

EXAMPLE

The square of the infinite lower triangular matrix (1; 1,2; 1,2,2;...) =

1;

3, 4;

5, 8, 4;

7, 12, 8, 4;

9, 16, 12, 8, 4;

11, 20, 16, 12, 8, 4;

13, 24, 20, 16, 12, 8, 4;

...

CROSSREFS

Cf. A056220.

Sequence in context: A060728 A101761 A035359 this_sequence A028267 A092997 A021747

Adjacent sequences: A143590 A143591 A143592 this_sequence A143594 A143595 A143596

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Aug 26 2008

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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