A167392 -id:A167392 - cp's OEIS frontend

A167393 Characteristic function of the range of A000009.

0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset: 0

Reinhard Zumkeller, Nov 03 2009

nonn

a(A000009(n)) = 1; a(A167377(n)) = 0.

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
Index entries for characteristic functions

Cf. A000009, A167377, A167392.

import Data.List.Ordered (member)
a167393 = fromEnum . flip member a000009_list
-- Reinhard Zumkeller, Nov 03 2015

A038753 Nonprime partition numbers.

Original entry on oeis.org

1, 15, 22, 30, 42, 56, 77, 135, 176, 231, 297, 385, 490, 627, 792, 1002, 1255, 1575, 1958, 2436, 3010, 3718, 4565, 5604, 6842, 8349, 10143, 12310, 14883, 21637, 26015, 31185, 37338, 44583, 53174, 63261, 75175, 89134, 105558, 124754, 147273, 173525

Offset: 1

Henry Bottomley, May 03 2000

nonn

Cf. A000041, A049575.

A005171(a(n))*A167392(a(n)) = 1. [From Reinhard Zumkeller, Nov 03 2009]

A072246 Numbers which are simultaneously the number of partitions of some k and the number of distinct partitions of some m.

Original entry on oeis.org

1, 2, 3, 5, 15, 22

Offset: 1

Robert G. Wilson v, Jul 06 2002

nonn

No more terms for all A000041(k) and A000009(m), where k<=1002505 and m<=2000000. - Vaclav Kotesovec, May 29 2018

Intersection of A000041 and A000009; A368036 and A368037.

Intersection[ Table[ PartitionsP[n], {n, 1, 5000}], Table[ PartitionsQ[n], {n, 1, 7000}]]

A167392(a(n))*A167393(a(n)) = 1. [From Reinhard Zumkeller, Nov 03 2009]

Perhaps there are no more terms? - N. J. A. Sloane Jul 06 2002

cp's OEIS Frontend

A167393 Characteristic function of the range of A000009.

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A038753 Nonprime partition numbers.

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A072246 Numbers which are simultaneously the number of partitions of some k and the number of distinct partitions of some m.

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