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Search: id:A092433
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| A092433 |
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Positive numbers from the children's game "Buzz" or "Sevens": positive integers which are divisible by seven, or which contain a seven as a digit. |
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+0
8
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| 7, 14, 17, 21, 27, 28, 35, 37, 42, 47, 49, 56, 57, 63, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 84, 87, 91, 97, 98, 105, 107, 112, 117, 119, 126, 127, 133, 137, 140, 147, 154, 157, 161, 167, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 182, 187, 189, 196
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Author?, Sevens.
Author?, Buzz.
Author?, Academic Games.
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FORMULA
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Integers n for which the coefficient of x^n is nonzero in x^7 / (1 - x^7) + sum(x^(7 10^k) (1 - x^(10^k)) / ((1 - x) (1 - x^(10^(k+1)))), k=0 to infinity).
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EXAMPLE
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7 is the first term, both because it is a multiple of 7 and because it contains a 7. 14 is next, being a multiple of 7. 17 is the third term: it contains a 7.
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MATHEMATICA
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Select[Range[300], Mod[ #, 7] == 0 || MemberQ[IntegerDigits[ # ], 7] &]
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CROSSREFS
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Cf. A092451-A092457.
Sequence in context: A167197 A100599 A118905 this_sequence A056203 A025021 A131439
Adjacent sequences: A092430 A092431 A092432 this_sequence A092434 A092435 A092436
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KEYWORD
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base,easy,nonn
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AUTHOR
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Jim Ferry (jferry(AT)uiuc.edu), Mar 23 2004
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