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URL: https://oeis.org/A055934

⇱ A055934 - OEIS

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A055934
a(0) = 1; a(n) = sum of a(j)'s, j<n, where n is divisible by a(j).
2
1, 1, 2, 2, 6, 2, 14, 2, 10, 2, 22, 2, 20, 2, 30, 2, 18, 2, 44, 2, 52, 2, 46, 2, 32, 2, 28, 2, 72, 2, 78, 2, 66, 2, 36, 2, 98, 2, 40, 2, 112, 2, 64, 2, 112, 2, 94, 2, 56, 2, 62, 2, 106, 2, 80, 2, 156, 2, 60, 2, 188, 2, 126, 2, 162, 2, 162, 2, 70, 2, 166, 2, 206, 2, 76, 2, 154, 2, 164, 2
OFFSET
0,3
COMMENTS
a(2j+1) = 2 for j > 0; a(j) is even for j > 1.
LINKS
EXAMPLE
a(10) =22 because a(0), a(1), a(2), a(3), a(5), a(7), a(8) and a(9) all divide 10 and a(0) +a(1) +a(2) +a(3) +a(5) +a(7) +a(8) +a(9) = 1 + 1 +2 +2 +2 +2 + 10 +2 =22.
PROG
(Python)
def A055934_list(nmax):
A = [1, 1]
for n in range(2, nmax+1):
if n%2 > 0:
A.append(2)
else:
A.append(sum(i for i in A if n%i < 1))
return A # John Tyler Rascoe, Jun 12 2024
CROSSREFS
Cf. A055935.
Sequence in context: A278243 A071223 A249631 * A096217 A281145 A098555
KEYWORD
easy,nonn
AUTHOR
Leroy Quet, Jul 17 2000
STATUS
approved