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A088001
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a(n) is the sum of non-palindromic divisors of n.
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3
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0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 12, 13, 14, 15, 16, 17, 18, 19, 30, 21, 0, 23, 36, 25, 39, 27, 42, 29, 55, 31, 48, 0, 51, 35, 66, 37, 57, 52, 70, 41, 77, 43, 0, 60, 69, 47, 100, 49, 85, 68, 91, 53, 99, 0, 98, 76, 87, 59, 147, 61, 93, 84, 112, 78, 0, 67, 119, 92, 129, 71, 162, 73
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,10
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LINKS
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Indranil Ghosh, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n)=0 iff all divisors are palindromic. See A062687.
a(n)+A088000(n) = A000203(n). - R. J. Mathar, Sep 09 2015
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MAPLE
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A088001 := proc(n)
numtheory[sigma](n)-A088000(n) ;
end proc; # R. J. Mathar, Jul 28 2016
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MATHEMATICA
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Table[Plus @@ Select[Divisors[k], Reverse[x = IntegerDigits[#]] != x &], {k, 73}] (* Jayanta Basu, Aug 12 2013 *)
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PROG
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(Python)
def ispal(n):
....if n==int(str(n)[::-1]):return True
....return False
def A088001(n):
....s=0
....for i in range(1, n+1):
........if n%i==0 and ispal(i)==False:
............s+=i
....return s # Indranil Ghosh, Feb 10 2017
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CROSSREFS
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Cf. A087999, A088000, A088002.
Sequence in context: A055961 A196081 A320380 * A260946 A019091 A256974
Adjacent sequences: A087998 A087999 A088000 * A088002 A088003 A088004
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KEYWORD
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base,nonn
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AUTHOR
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Labos Elemer, Oct 14 2003
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STATUS
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approved
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