

A109978


Inverse binomial transform of numbertheoretic triangle A109974.


1



1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 5, 5, 4, 5, 1, 13, 14, 11, 7, 12, 1, 33, 40, 35, 20, 5, 27, 1, 80, 111, 113, 77, 21, 34, 58, 1, 184, 293, 350, 294, 144, 27, 238, 121, 1, 402, 731, 1021, 1042, 716, 249, 153, 1063, 248, 1, 840, 1726, 2796, 3409, 2982, 1755, 724, 318, 4037, 503, 1
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OFFSET

1,7


COMMENTS

First column is expansion of bracket function A001659.


LINKS

Table of n, a(n) for n=1..66.


FORMULA

T(n, k)=sum{j=1..n, (1)^(nj)C(n1, j1)*if(k<=j, sigma(k1, jk+1), 0)} [offset (1, 1)]


EXAMPLE

Rows begin
1;
1,1;
1,1,1;
2,2,2,1;
5,5,4,5,1;
13,14,11,7,12,1;
33,40,35,20,5,27,1;


CROSSREFS

Sequence in context: A261360 A184242 A307739 * A114293 A295691 A285183
Adjacent sequences: A109975 A109976 A109977 * A109979 A109980 A109981


KEYWORD

easy,sign,tabl


AUTHOR

Paul Barry, Jul 06 2005


STATUS

approved



