|
| |
|
|
A092433
|
|
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.
|
|
7
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
LINKS
| Author?, Sevens.
Author?, Buzz.
Author?, Academic Games.
|
|
|
FORMULA
| 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).
|
|
|
EXAMPLE
| 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.
|
|
|
MATHEMATICA
| Select[Range[300], Mod[ #, 7] == 0 || MemberQ[IntegerDigits[ # ], 7] &]
|
|
|
CROSSREFS
| Cf. A092451-A092457.
Sequence in context: A100599 A198390 A118905 * A056203 A178732 A025021
Adjacent sequences: A092430 A092431 A092432 * A092434 A092435 A092436
|
|
|
KEYWORD
| base,easy,nonn
|
|
|
AUTHOR
| Jim Ferry (jferry(AT)uiuc.edu), Mar 23 2004
|
| |
|
|
