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A061198 Square table by antidiagonals where T(n,k) is number of partitions of k where no part appears more than n times; also partitions of k where no parts are multiples of (n+1). 4
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 3, 4, 3, 2, 1, 1, 0, 4, 5, 4, 3, 2, 1, 1, 0, 5, 7, 6, 5, 3, 2, 1, 1, 0, 6, 9, 9, 6, 5, 3, 2, 1, 1, 0, 8, 13, 12, 10, 7, 5, 3, 2, 1, 1, 0, 10, 16, 16, 13, 10, 7, 5, 3, 2, 1, 1, 0, 12, 22, 22, 19, 14, 11, 7, 5, 3, 2, 1, 1, 0, 15, 27, 29, 25 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Table of n, a(n) for n=0..95.

CROSSREFS

Rows include A000007, A000009, A000726, A035959. Main diagonal is A000041. A061199 is the same table but excluding cases where n>k.

Sequence in context: A119557 A125919 A241079 * A195011 A290942 A039801

Adjacent sequences:  A061195 A061196 A061197 * A061199 A061200 A061201

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Apr 20 2001

STATUS

approved

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Last modified March 26 23:07 EDT 2019. Contains 321566 sequences. (Running on oeis4.)