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A055894 Inverse Moebius transform of Pascal's triangle A007318. 1
1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 4, 8, 4, 3, 2, 5, 10, 10, 5, 2, 4, 6, 18, 22, 18, 6, 4, 2, 7, 21, 35, 35, 21, 7, 2, 4, 8, 32, 56, 78, 56, 32, 8, 4, 3, 9, 36, 87, 126, 126, 87, 36, 9, 3, 4, 10, 50, 120, 220, 254, 220, 120, 50, 10, 4, 2, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..76.

N. J. A. Sloane, Transforms

Index entries for triangles and arrays related to Pascal's triangle

EXAMPLE

Triangle starts:

[ 0]  1,

[ 1]  1, 1,

[ 2]  2, 2, 2,

[ 3]  2, 3, 3, 2,

[ 4]  3, 4, 8, 4, 3,

[ 5]  2, 5, 10, 10, 5, 2,

[ 6]  4, 6, 18, 22, 18, 6, 4,

[ 7]  2, 7, 21, 35, 35, 21, 7, 2,

[ 8]  4, 8, 32, 56, 78, 56, 32, 8, 4,

[ 9]  3, 9, 36, 87, 126, 126, 87, 36, 9, 3, ...

PROG

(PARI)

T(n, k) = if(n<=0, n==0, sumdiv(gcd(n, k), d, binomial(n/d, k/d) ) );

/* print triangle: */

{ for (n=0, 17, for (k=0, n, print1(T(n, k), ", "); ); print(); ); }

/* Joerg Arndt, Oct 21 2012 */

CROSSREFS

Row sums give A055895.

Sequence in context: A103183 A143901 A115263 * A224713 A168557 A194320

Adjacent sequences:  A055891 A055892 A055893 * A055895 A055896 A055897

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower, Jun 09 2000

STATUS

approved

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Last modified November 24 07:22 EST 2014. Contains 249872 sequences.