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A115862 Triangle where a(1,1)=0; a(n,m) is number of terms among the first (n-1) terms of A115863 that are not coprime to m. A115863(n) is the sum of the terms of the n-th row of A115862. +0
2
0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 3, 2, 0, 2, 2, 2, 2, 3, 2, 2, 0, 2, 3, 2, 3, 4, 2, 2, 3, 0, 2, 4, 2, 3, 5, 3, 2, 4, 4 (list; table; graph; listen)
OFFSET

1,8

COMMENT

If a(1,1) was instead 1, then row 2 would be [0,0], and the rest of the triangle would be the same as when a(1,1) = 0. For our purposes, 0 is considered to be coprime only with 1.

EXAMPLE

The first 5 terms of A115863 are 0,1,2,5, and 7. Among these terms 0 are not coprime with 1, 2 are not coprime with 2, 1 is not coprime with 3, 2 are not coprime with 4, 2 are not coprime with 5, and 2 are not coprime with 6.

So row 6 of the triangle is [0,2,1,2,2,2].

(And so A115863(6) = 0+2+1+2+2+2 = 9.)

CROSSREFS

Cf. A115863, A115758.

Sequence in context: A071460 A033794 A101665 this_sequence A029357 A118054 A077883

Adjacent sequences: A115859 A115860 A115861 this_sequence A115863 A115864 A115865

KEYWORD

more,nonn,tabl

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Feb 01 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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