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Search: id:A113942
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| A113942 |
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Concatenating n with n+1 (in base 10) gives a number which is the product of 2 palindromes. |
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+0
1
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| 1, 4, 5, 115, 148, 247, 346, 371, 445, 528, 7606, 8376, 9157, 12478, 16528, 19834, 22477, 25103, 28546, 31989, 32476, 33057, 38875, 40495, 42475, 45761, 46335, 50494, 52474, 52647, 59533, 61483, 62473, 66445, 72472, 83461, 94450, 1165288
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Members which have an even number of digits are rare: 7606, 8376, 9157, ..., . - Robert G. Wilson v
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EXAMPLE
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3305733058 = 45454*72727.
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MATHEMATICA
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palQ[n_] := Block[{id = IntegerDigits[n]}, id == Reverse[id]]; t = {}; Do[p = 10^Floor[Log[10, n] + 1]n + n + 1; If[ MemberQ[ Union[Times @@@ Tuples[ Select[ Most@ Rest@ Divisors@p, palQ[ # ] &], 2]], p], AppendTo[t, n]], {n, 1504947}]; t (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 31 2006)
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CROSSREFS
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Sequence in context: A005512 A052320 A079197 this_sequence A073129 A041409 A101076
Adjacent sequences: A113939 A113940 A113941 this_sequence A113943 A113944 A113945
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KEYWORD
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base,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 31 2006
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