



1, 2, 2, 6, 0, 3, 8, 4, 0, 4, 20, 0, 0, 0, 5, 12, 12, 6, 0, 0, 6, 42, 0, 0, 0, 0, 0, 7, 32, 16, 0, 8, 0, 0, 0, 8, 54, 0, 18, 0, 0, 0, 0, 0, 9, 40, 40, 0, 0, 10, 0, 0, 0, 0, 10, 110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 48, 24, 24, 24, 0, 12, 0, 0, 0, 0, 0, 12, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 84
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OFFSET

1,2


COMMENTS

Natural number transform of A054523.
Row sums = n^2, left column = A002618


LINKS

Table of n, a(n) for n=1..92.


FORMULA

T(n,k)=n*A054523(n,k).  R. J. Mathar, Nov 01 2007


EXAMPLE

First few rows of the triangle are:
1;
2, 2;
6, 0, 3;
8, 4, 0, 4;
20, 0, 0, 0, 5;
12, 12, 6, 0, 0, 6;
42, 0, 0, 0, 0, 0, 7;
...


MAPLE

A054523 := proc(n, k) if n mod k = 0 then numtheory[phi](n/k) ; else 0 ; fi ; end: A127649 := proc(n, k) A054523(n, k)*n ; end: for n from 1 to 20 do for k from 1 to n do printf("%d, ", A127649(n, k)) ; od: od: # R. J. Mathar, Nov 01 2007


CROSSREFS

Cf. A127648, A002618, A054523.
Sequence in context: A163119 A091085 A011144 * A274440 A199220 A047916
Adjacent sequences: A127646 A127647 A127648 * A127650 A127651 A127652


KEYWORD

nonn,tabl,easy


AUTHOR

Gary W. Adamson, Jan 22 2007


EXTENSIONS

More terms from R. J. Mathar, Nov 01 2007


STATUS

approved



