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A258282 Number of partitions of 4 copies of n into distinct parts. 2
1, 1, 5, 7, 20, 31, 75, 118, 266, 401, 841, 1345, 2581, 4023, 7758, 11932, 21543, 33941, 59099, 91816, 159059, 242955, 407523, 634827, 1032202, 1576276, 2572429, 3888631, 6177754, 9400070, 14665453, 22055721, 34349618, 51033150, 78166821, 116800290, 176090572 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..100

FORMULA

a(n) = 1/4! * [(x*y*z*u)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j).

EXAMPLE

a(9) = 5: [9;8,1;7,2;6,3], [9;8,1;7,2;5,4], [9;8,1;6,3;5,4], [9;7,2;6,3;5,4], [8,1;7,2;6,3;5,4].

CROSSREFS

Column k=4 of A258280.

Sequence in context: A279252 A279957 A249047 * A192422 A120035 A198302

Adjacent sequences:  A258279 A258280 A258281 * A258283 A258284 A258285

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 25 2015

STATUS

approved

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Last modified October 19 10:54 EDT 2021. Contains 348075 sequences. (Running on oeis4.)