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A123682 First in an infinite series of triangular arrays which, when taken together, sum to 1,1,3,5,11,21,43,85,... cf. A001045. +0
3
1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 2, 4, 4, 1, 1, 1, 3, 3, 5, 5, 1, 0, 2, 2, 4, 4, 6, 6, 1, 1, 1, 3, 3, 5, 5, 7, 7, 1 (list; graph; listen)
OFFSET

1,8

COMMENT

The starting row for each triangle is determined by the applicable source integer partition; thus for partitions 1,22,33,222,44,332,2222,333,... the starting rows are 1,4,6,6,8,8,8,9,...

EXAMPLE

Summing the row sums of the triangular arrays we have

1 1

1 1

3 3

5 5 0

11 9 2

21 13 7 1 0

43 19 18 4 2

85 25 36 12 10 2

...

CROSSREFS

Cf. A059841 A001045 A123640.

Sequence in context: A086275 A066855 A058914 this_sequence A134513 A140751 A162741

Adjacent sequences: A123679 A123680 A123681 this_sequence A123683 A123684 A123685

KEYWORD

nonn,tabf

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Oct 06 2006

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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