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A108038 Triangle read by rows: g.f. = (x+y+x*y)/((1-x-x^2)*(1-y-y^2)). +0
1
0, 1, 1, 1, 3, 1, 2, 4, 4, 2, 3, 7, 5, 7, 3, 5, 11, 9, 9, 11, 5, 8, 18, 14, 16, 14, 18, 8, 13, 29, 23, 25, 25, 23, 29, 13, 21, 47, 37, 41, 39, 41, 37, 47, 21, 34, 76, 60, 66, 64, 64, 66, 60, 76, 34, 55, 123, 97, 107, 103, 105, 103, 107, 97, 123, 55, 89, 199, 157, 173, 167, 169, 169, 167 (list; table; graph; listen)
OFFSET

0,5

COMMENT

Start with 3 rows 0; 1 1; 1 3 1; then rule is each entry is maximum of sum of two entries diagonally above it to the left or to the right. Borders are Fibonacci numbers (A000045).

EXAMPLE

0; 1,1; 1,3,1; 2,4,4,2; 3,7,5,7,3; ...

CROSSREFS

Sequence in context: A139457 A049992 A074585 this_sequence A151845 A120577 A104695

Adjacent sequences: A108035 A108036 A108037 this_sequence A108039 A108040 A108041

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 01 2005

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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