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A238787 Number of palindromic partitions of n whose greatest part has multiplicity <= 4. 3
1, 2, 2, 4, 3, 6, 6, 11, 11, 17, 18, 27, 28, 41, 42, 62, 63, 90, 91, 129, 131, 183, 185, 255, 257, 351, 354, 480, 484, 647, 652, 867, 873, 1152, 1159, 1520, 1529, 1990, 2001, 2591, 2605, 3352, 3369, 4316, 4336, 5526, 5550, 7042, 7071, 8931, 8967, 11284 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Palindromic partitions are defined at A025065.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

a(8) counts these 11 partitions (written as palindromes):  8, 161, 44, 242, 11411, 323, 1331, 2222, 12221, 112211, 1112111.

MATHEMATICA

z = 40; p[n_, k_] := Select[IntegerPartitions[n], (Count[OddQ[Transpose[Tally[#]][[2]]], True] <= 1) && (Count[#, Max[#]] <= k) &]

Table[p[n, 1], {n, 1, 12}]

t2 = Table[Length[p[n, 2]], {n, 1, z}] (* A238785 *)

Table[p[n, 3], {n, 1, 12}]

t3 = Table[Length[p[n, 3]], {n, 1, z}] (* A238786 *)

Table[p[n, 4], {n, 1, 12}]

t4 = Table[Length[p[n, 4]], {n, 1, z}] (* A238787 *)

(* Peter J. C. Moses, Mar 03 2014 *)

CROSSREFS

Cf. A025065, A238785, A238786, A238779.

Sequence in context: A082146 A037145 A238790 * A293170 A101200 A122585

Adjacent sequences:  A238784 A238785 A238786 * A238788 A238789 A238790

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 05 2014

STATUS

approved

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Last modified August 7 09:16 EDT 2020. Contains 336274 sequences. (Running on oeis4.)