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A117894 Triangle, row sums = Pell numbers, A000129. +0
2
1, 1, 1, 1, 2, 2, 1, 3, 3, 5, 1, 4, 4, 8, 12, 1, 5, 5, 11, 19, 29, 1, 6, 6, 14, 26, 46, 70, 1, 7, 7, 17, 33, 63, 111, 169, 1, 8, 8, 20, 40, 80, 152, 268, 408, 1, 9, 9, 23, 47, 97, 193, 367, 647, 985 (list; graph; listen)
OFFSET

1,5

COMMENT

Rows sum to Pell numbers, A000129. E.g., row 5 sum = (1 + 4 + 4 + 8 + 12) = 12, A000129(4). Deleting the right border gives triangle A117895.

FORMULA

Rows are comprised of difference terms of triangle A117584

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

1, 2, 2;

1, 3, 3, 5;

1, 4, 4, 8, 12;

1, 5, 5, 11, 19, 29;

1, 6, 6, 14, 26, 46, 70;

1, 7, 7, 17, 33, 63, 111, 169;

...

Row 4 of A117584 = (1, 4, 7, 12). Difference terms (1, 3, 3, 5) = row 4 of A117894.

CROSSREFS

Cf. A000129, A117584, A117895.

Sequence in context: A112209 A109524 A023990 this_sequence A109380 A011020 A076019

Adjacent sequences: A117891 A117892 A117893 this_sequence A117895 A117896 A117897

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 30 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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