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A047100 Array T read by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and touches the line y=x/3 only at lattice points. 9
1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 2, 1, 1, 4, 6, 5, 3, 1, 1, 5, 10, 11, 5, 4, 1, 1, 6, 15, 21, 16, 5, 5, 1, 1, 7, 21, 36, 37, 21, 10, 6, 1, 1, 8, 28, 57, 73, 58, 31, 16, 7, 1, 1, 9, 36, 85, 130, 131, 89, 31, 23, 8, 1, 1, 10, 45, 121, 215, 261, 220 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..72.

EXAMPLE

Diagonals (beginning on row 0): {1}; {1,1}; {1,1,1}; {1,2,1,1};...

CROSSREFS

Sequence in context: A118923 A292745 A047010 * A124772 A227543 A344678

Adjacent sequences:  A047097 A047098 A047099 * A047101 A047102 A047103

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified January 27 10:39 EST 2022. Contains 350607 sequences. (Running on oeis4.)