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A082905 Modified Pascal-triangle, read by rows. All C[n,j] binomial coefficients are replaced by C[n/g,j/g], where g=GCD[n,j]. 2
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 2, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 3, 2, 3, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 4, 56, 2, 56, 4, 8, 1, 1, 9, 36, 3, 126, 126, 3, 36, 9, 1, 1, 10, 5, 120, 10, 2, 10, 120, 5, 10, 1, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 1, 12, 6, 4, 3, 792, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..84.

EXAMPLE

Triangle begins:

1

1,1,

1,2,1,

1,3,3,1,

1,4,2,4,1,

1,5,10,10,5,1,

1,6,3,2,3,6,1,

1,7,21,35,35,21,7,1,

1,8,4,56,2,56,4,8,1,

1,9,36,3,126,126,3,36,9,1,

1,10,5,120,10,2,10,120,5,10,1,

MATHEMATICA

Flatten[Table[Table[Binomial[n/GCD[n, j], j/GCD[n, j]], {j, 0, n}], {n, 1, 32}], 1]

CROSSREFS

Cf. A000005, A007318, A056045.

Sequence in context: A225043 A125605 A110570 * A141524 A192650 A178059

Adjacent sequences:  A082902 A082903 A082904 * A082906 A082907 A082908

KEYWORD

nonn,tabf

AUTHOR

Labos Elemer, Apr 23 2003

STATUS

approved

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Last modified January 18 06:34 EST 2019. Contains 319269 sequences. (Running on oeis4.)