|
Search: id:A088117
|
|
|
| A088117 |
|
Let the decimal expansion of n be abcd...; then a(n) = {a*bcd... + b*acd... + c*abc... + ...} + {ab*cd} + ... . That is, a(n)=sum over all the digit strings of the product (number obtained by deleting a digit string) * (deleted digit string). |
|
+0
3
|
|
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 0
(list; graph; listen)
|
|
|
OFFSET
|
0,12
|
|
|
COMMENT
|
Each product is used only once.
a(n) = 0 for 0<=n<=9.
The initial 100 terms match those of A007954.
|
|
EXAMPLE
|
a(1234) = (234 + 2*134 + 3*124 + 4*123) + (12*34 + 23*14) = 1774.
a(12345) = 2345 + 2*1345 + 3*1245 + 4*1235 + 5*1234 + ( 12*345 + 23*145 + 34*125 + 45*123).
|
|
CROSSREFS
|
Cf. A007954, A088116.
Sequence in context: A095187 A141022 A088118 this_sequence A080464 A035930 A139281
Adjacent sequences: A088114 A088115 A088116 this_sequence A088118 A088119 A088120
|
|
KEYWORD
|
base,easy,nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 25 2003
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jul 14 2007
|
|
|
Search completed in 0.002 seconds
|
