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A243935 Numbers m such that 5 divides A000041(n). 8
4, 7, 9, 14, 18, 19, 23, 24, 27, 29, 34, 38, 39, 44, 49, 54, 58, 59, 61, 64, 66, 68, 69, 71, 74, 79, 82, 84, 89, 94, 97, 99, 103, 104, 109, 114, 119, 120, 124, 127, 128, 129, 130, 134, 136, 139, 140, 142, 144, 149, 154, 159, 163, 164, 165, 169, 170, 173, 174 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[Range[200], Mod[PartitionsP[#], 5] == 0 &]

PROG

(Sage)

# From Peter Luschny in A000041

@CachedFunction

def A000041(n):

    if n == 0: return 1

    S = 0; J = n-1; k = 2

    while 0 <= J:

        T = A000041(J)

        S = S+T if is_odd(k//2) else S-T

        J -= k if is_odd(k) else k//2

        k += 1

    return S

[n for n in (0..200) if mod(A000041(n), 5) == 0]

(MAGMA) [n: n in [1..200] | IsZero(NumberOfPartitions(n) mod 5)];

(PARI) is(n)=numbpart(n)%5==0 \\ Charles R Greathouse IV, Apr 08 2015

CROSSREFS

Numbers m such that k divides A000041(m), where k is prime: A001560 (k=2), A083214 (k=3), this sequence (k=5), A243936 (k=7), A027827 (k=11), A071750 (k=13). For k composite: A237278 (k=4), A035700 (k=12).

Sequence in context: A310965 A035510 A187898 * A310966 A287559 A032778

Adjacent sequences:  A243932 A243933 A243934 * A243936 A243937 A243938

KEYWORD

nonn,easy

AUTHOR

Bruno Berselli, Jun 15 2014

STATUS

approved

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Last modified July 10 15:20 EDT 2020. Contains 335576 sequences. (Running on oeis4.)