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A091306 Sum of squares of unitary, square-free divisors of n, including 1. +0
1
1, 5, 10, 1, 26, 50, 50, 1, 1, 130, 122, 10, 170, 250, 260, 1, 290, 5, 362, 26, 500, 610, 530, 10, 1, 850, 1, 50, 842, 1300, 962, 1, 1220, 1450, 1300, 1, 1370, 1810, 1700, 26, 1682, 2500, 1850, 122, 26, 2650, 2210, 10, 1, 5, 2900, 170, 2810, 5, 3172, 50, 3620 (list; graph; listen)
OFFSET

1,2

COMMENT

If b(n,k) = sum of k-th powers of unitary, square-free divisors of n, including 1, then b(n,k) is multiplicative with b(p,k)=p^k+1 and b(p^e,k)=1 for e>1.

FORMULA

Multiplicative with a(p)=p^2+1 and a(p^e)=1 for e>1.

CROSSREFS

Cf. A056671, A092261.

Sequence in context: A098135 A112259 A099731 this_sequence A073048 A102258 A084341

Adjacent sequences: A091303 A091304 A091305 this_sequence A091307 A091308 A091309

KEYWORD

mult,easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 23 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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