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A108038 Triangle read by rows: g.f. = (x+y+x*y)/((1-x-x^2)*(1-y-y^2)). 0
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; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

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).

LINKS

Table of n, a(n) for n=0..73.

EXAMPLE

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

CROSSREFS

Sequence in context: A227147 A074585 A183312 * A151845 A230448 A201653

Adjacent sequences:  A108035 A108036 A108037 * A108039 A108040 A108041

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 01 2005

STATUS

approved

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Last modified May 29 03:06 EDT 2020. Contains 334696 sequences. (Running on oeis4.)