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A157045 Triangular table: number of partitions of n into exactly n-k parts, each <= n-k. Same as A157044 but with rows reversed. 1
1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 3, 2, 0, 0, 1, 1, 2, 3, 4, 1, 0, 0, 1, 1, 2, 3, 5, 4, 1, 0, 0, 1, 1, 2, 3, 5, 6, 5, 0, 0, 0, 1, 1, 2, 3, 5, 7, 8, 4, 0, 0, 0, 1, 1, 2, 3, 5, 7, 10, 9, 4, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 12, 11, 3, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 14, 16, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,13

COMMENTS

See A157044. Rows approach the partition numbers.

REFERENCES

George E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, Mass., 1976 (Theorem 1.5).

LINKS

Table of n, a(n) for n=1..101.

MATHEMATICA

Table[T[n-1, n-k, n-k+2]-T[n-1, n-k-1, n-k+2], {n, 1, 9}, {k, 1, n}] with T[n, a, b] as defined in A047993.

CROSSREFS

Cf. A000041, A157044, A157046, A047993

Sequence in context: A241069 A261084 A035144 * A035208 A025881 A039804

Adjacent sequences:  A157042 A157043 A157044 * A157046 A157047 A157048

KEYWORD

nonn,tabl

AUTHOR

Wouter Meeussen, Feb 22 2009

STATUS

approved

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Last modified February 27 06:03 EST 2020. Contains 332299 sequences. (Running on oeis4.)