The On-Line Encyclopedia of Integer Sequences (OEIS)

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A096798

Triangle, read by rows, where T(n,k) = (k/n)*Sum_{d|n} A096797(d,k).
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:36:41 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Jul 13 2004

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/213

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

sign,tabl,new

AUTHOR

Paul D . Hanna (pauldhanna(AT)juno.com), Jul 13 2004

#1 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

Triangle, read by rows, where T(n,k) = (k/n)*Sum_{d|n} A096797(d,k).

DATA

1, 2, 1, 3, 0, 1, 5, 0, 0, 1, 7, -6, 0, 0, 1, 11, -13, 2, 0, 0, 1, 15, -34, 9, 0, 0, 0, 1, 22, -65, 33, 0, 0, 0, 0, 1, 30, -128, 102, -12, 0, 0, 0, 0, 1, 42, -225, 255, -62, 2, 0, 0, 0, 0, 1, 56, -394, 591, -232, 15, 0, 0, 0, 0, 0, 1, 77, -649, 1265, -721, 100, 0, 0, 0, 0, 0, 0, 1, 101, -1064, 2559, -1972, 455, -18, 0, 0, 0, 0, 0, 0, 1

OFFSET

1,2

COMMENTS

The first column forms the partition numbers (A000041).

EXAMPLE

Rows begin:

[1],

[2,1],

[3,0,1],

[5,0,0,1],

[7,-6,0,0,1],

[11,-13,2,0,0,1],

[15,-34,9,0,0,0,1],

[22,-65,33,0,0,0,0,1],

[30,-128,102,-12,0,0,0,0,1],

[42,-225,255,-62,2,0,0,0,0,1],

[56,-394,591,-232,15,0,0,0,0,0,1],

[77,-649,1265,-721,100,0,0,0,0,0,0,1],

[101,-1064,2559,-1972,455,-18,0,0,0,0,0,0,1],

[135,-1681,4941,-4926,1680,-147,2,0,0,0,0,0,0,1],...

CROSSREFS

Cf. A000041, A008284, A096797.

KEYWORD

sign,tabl

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Jul 13 2004

STATUS

approved