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A068906 Square array read by antidiagonals of partitions of k modulo n. 3
0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 1, 1, 3, 2, 1, 0, 1, 2, 3, 0, 3, 2, 1, 0, 0, 0, 3, 2, 5, 3, 2, 1, 0, 0, 1, 3, 1, 1, 5, 3, 2, 1, 0, 0, 0, 2, 0, 5, 0, 5, 3, 2, 1, 0, 0, 0, 2, 2, 3, 4, 7, 5, 3, 2, 1, 0, 1, 2, 2, 0, 4, 1, 3, 7, 5, 3, 2, 1, 0, 1, 2, 0, 2, 0, 1, 7, 2, 7, 5, 3, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

0 is disproportionately common modulo 5, 7 and 11, largely because T(5,5m+4)=T(7,7m+5)=T(11,11m+6)=0.

LINKS

Table of n, a(n) for n=1..105.

Henry Bottomley, Partition calculators using java applets

Index entries for sequences related to partitions

FORMULA

T(n, k) =A051127(n, A000041(k))

EXAMPLE

Rows start 0,0,0,0,0,...; 1,0,1,1,1,...; 1,2,0,2,1,...; 1,2,3,1,3,...; 1,2,3,0,2,1,...; 1,2,3,5,1,5,...; 1,2,3,5,0,...; 1,2,3,5,7,...; etc.

CROSSREFS

Rows 2, 3, 5, 7 and 11 give A040051, A068907, A068908, A068909, A020919.

Sequence in context: A130161 A115672 A079694 * A162514 A166347 A055300

Adjacent sequences:  A068903 A068904 A068905 * A068907 A068908 A068909

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Mar 05 2002

STATUS

approved

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Last modified January 20 19:53 EST 2020. Contains 331096 sequences. (Running on oeis4.)