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Search: id:A069527
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| A069527 |
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Smallest multiple of n with digit sum = 8, or 0 if no such number exists, e.g. a(3k)= 0. |
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+0
5
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| 8, 8, 0, 8, 35, 0, 35, 8, 0, 80, 44, 0, 26, 224, 0, 80, 17, 0, 152, 80, 0, 44, 161, 0, 125, 26, 0, 224, 116, 0, 62, 224, 0, 170, 35, 0, 0, 152, 0, 80, 1025, 0, 215, 44, 0, 1610, 611, 0, 1421, 350, 0, 260, 53, 0, 440, 224, 0, 116, 413, 0, 305, 62, 0, 512, 260, 0, 134, 1700, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The number ABCDEF (A through F are digits) is divisible by 37 if the number XYZ (where X=A+D, Y=B+E, Z=C+F) is divisible by 37. If the digit sum of XYZ is S, then the digit sum of ABCDEF is S+9k for some k. A quick check of all multiples of 37 with three or fewer digits shows that none have a digit sum of 8. Thus no multiple of 37 has a digit sum of 8 and a(37) is undefined as is a(37p) for all p. - Christopher Lund (clund(AT)san.rr.com), Apr 16 2002
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CROSSREFS
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Cf. A069521, A069522, A069523, A069524, A069525, A069526.
Sequence in context: A113809 A144802 A019960 this_sequence A056194 A110940 A141134
Adjacent sequences: A069524 A069525 A069526 this_sequence A069528 A069529 A069530
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 01 2002
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EXTENSIONS
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More terms from Christopher Lund (clund(AT)san.rr.com), Apr 16 2002
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