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A193254 Sum of odd divisors of lambda(n). 2
1, 1, 1, 1, 1, 1, 4, 1, 4, 1, 6, 1, 4, 4, 1, 1, 1, 4, 13, 1, 4, 6, 12, 1, 6, 4, 13, 4, 8, 1, 24, 1, 6, 1, 4, 4, 13, 13, 4, 1, 6, 4, 32, 6, 4, 12, 24, 1, 32, 6, 1, 4, 14, 13, 6, 4, 13, 8, 30, 1, 24, 24, 4, 1, 4, 6, 48, 1, 12, 4, 48, 4, 13, 13, 6, 13, 24, 4, 56, 1, 40, 6, 42, 4, 1, 32, 8, 6, 12, 4, 4, 12, 24, 24, 13, 1, 4, 32, 24, 6, 31, 1, 72, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Lambda is the function in A002322.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A000593(A002322(n)).

EXAMPLE

a(19) = 13 because lambda(19) = 18 and the sum of the 3 odd divisors {1, 3, 9} is 13.

MATHEMATICA

Table[Total[Select[Divisors[CarmichaelLambda[n]], OddQ[ # ]&]], {n, 67}]

PROG

(PARI) a(n) = sumdiv(lcm(znstar(n)[2]), d, d*(d%2));

CROSSREFS

Cf. A002322, A000593, A193169, A193454.

Sequence in context: A095666 A257231 A196757 * A193454 A322819 A089655

Adjacent sequences:  A193251 A193252 A193253 * A193255 A193256 A193257

KEYWORD

nonn

AUTHOR

Michel Lagneau, Jul 22 2011

EXTENSIONS

More terms from Antti Karttunen, Aug 22 2017

STATUS

approved

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Last modified July 23 03:25 EDT 2019. Contains 325230 sequences. (Running on oeis4.)