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A117192 Number of partitions of n into distinct parts with an even rank. 10
1, 0, 2, 0, 2, 2, 3, 2, 4, 6, 6, 7, 8, 12, 14, 16, 18, 24, 26, 32, 38, 46, 52, 60, 70, 83, 96, 112, 128, 148, 170, 194, 224, 256, 293, 334, 380, 432, 492, 556, 630, 712, 804, 908, 1026, 1152, 1296, 1454, 1632, 1828, 2048, 2292, 2560, 2858, 3190, 3554, 3959, 4404 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) = Sum(A117195(n,k)*(1 - k mod 2): 0<=k<n).
a(n) = A117194(n)+A010054(n) = A000009(n)-A117193(n) = A117193(n)+A003406(n).
MATHEMATICA
a[n_] := Count[IntegerPartitions[n], q_ /; EvenQ[First[q] - Length[q]] && Length[q] == Length[Union[q]]];
Array[a, 60] (* Jean-François Alcover, Oct 06 2021 *)
CROSSREFS
Sequence in context: A070101 A022830 A035663 * A078729 A300236 A238158
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Mar 03 2006
STATUS
approved

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Last modified March 28 10:53 EDT 2024. Contains 371240 sequences. (Running on oeis4.)