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A103123 1/4-Smith Numbers. +0
2
19899699, 36969999, 36999699, 39699969, 39999399, 39999993, 66699699, 66798798, 67967799, 67987986, 69759897, 69889389, 69966699, 69996993, 76668999, 79488798, 79866798, 85994799, 86686886, 89769759, 89866568 (list; graph; listen)
OFFSET

1,1

LINKS

S.S.Gupta, Smith Numbers.

FORMULA

McDaniel, W.L., "The Existence of infinitely Many k- Smith numbers", Fibonacci Quarterly, 25(1987), pp. 76-80.

EXAMPLE

19899699 is a 4^(-1) Smith number because digit sum of 19899699 i.e. S(19899699) = 1 + 9 + 8 + 9 +9 + 6 + 9 + 9=60, which is equal to 4 times the sum of the digits of its prime factors i.e.4x Sp (19899699) =4 x Sp (3 x 2203 x 3011) = 4 x( 3 + 2 + 2+ 0 + 3 + 3 + 0 + 1 + 1) = 15.

CROSSREFS

Cf. A006753.

Sequence in context: A017395 A017659 A122557 this_sequence A107618 A050945 A116497

Adjacent sequences: A103120 A103121 A103122 this_sequence A103124 A103125 A103126

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta (guptass(AT)rediffmail.com), Mar 16 2005

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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