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A327483 Triangle read by rows where T(n,k) is the number of integer partitions of 2^n with mean 2^k, 0 <= k <= n. 3
1, 1, 1, 1, 2, 1, 1, 5, 4, 1, 1, 22, 34, 8, 1, 1, 231, 919, 249, 16, 1, 1, 8349, 112540, 55974, 1906, 32, 1, 1, 1741630, 107608848, 161410965, 4602893, 14905, 64, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..35.

FORMULA

T(n+1,n) = 2^n for n >= 0. - Chai Wah Wu, Sep 14 2019

EXAMPLE

Triangle begins:

      1

      1       1

      1       2         1

      1       5         4         1

      1      22        34         8       1

      1     231       919       249      16     1

      1    8349    112540     55974    1906    32  1

      1 1741630 107608848 161410965 4602893 14905 64 1

MATHEMATICA

Table[Length[Select[IntegerPartitions[2^n], Mean[#]==2^k&]], {n, 0, 5}, {k, 0, n}]

CROSSREFS

Row sums are A327484.

Column k = 1 is A068413 (shifted once to the right).

Cf. A067538, A237984, A240850, A327481, A327482.

Sequence in context: A152924 A220738 A284732 * A327884 A050145 A222573

Adjacent sequences:  A327480 A327481 A327482 * A327484 A327485 A327486

KEYWORD

nonn,tabl,more

AUTHOR

Gus Wiseman, Sep 13 2019

EXTENSIONS

a(28)-a(35) from Chai Wah Wu, Sep 14 2019

STATUS

approved

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Last modified November 14 17:24 EST 2019. Contains 329126 sequences. (Running on oeis4.)