|
Search: id:A127172
|
|
| |
|
| 1, 3, 1, 3, 0, 1, 6, 3, 0, 1, 3, 0, 0, 0, 1, 9, 3, 3, 0, 0, 1, 3, 0, 0, 0, 0, 0, 1, 10, 6, 0, 3, 0, 0, 0, 1, 6, 0, 3, 0, 0, 0, 0, 0, 1, 9, 3, 0, 0, 0, 3, 0, 0, 0, 0, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Non-zero terms in every column = A007425: (1, 3, 3, 6, 3, 9, 3,...). Row sums = A007426: (1, 4, 4, 20, 4, 16,...) A127172 * mu(n) = d(n); or A127172 * A008683 = A000005 A127172 * d(n) = tau_5(n); or A127172 * A000005 = A061200. A127172 * phi(n) = A007429: (1, 4, 5, 11, 7, 20,...); or: A127172 * A000010 = A007429. Note that A051731 * d(n) = row sums of A127172; or A051731 * A000005 = A007425. Also, A126988 * mu(n) = phi(n); or A126988 * A008683 = A000010. A126988 * phi(n) = A018804: (1, 3, 5, 8, 9, 15,...); = A127170 * mu(n).
|
|
FORMULA
|
Cube of A051731 A007425: (1, 3, 3, 6, 3, 9, 3,...) in every column k, interspersed with (k-1) zeros.
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
3, 1;
3, 0, 1;
6, 3, 0, 1;
3, 0, 0, 0, 1;
9, 3, 3, 0, 0, 1;
3, 0, 0, 0, 0, 0, 1;
10, 6, 0, 3, 0, 0, 0, 1;
6, 0, 3, 0, 0, 0, 0, 0, 1;
9, 3, 0, 0, 3, 0, 0, 0, 0, 1;
...
|
|
CROSSREFS
|
Cf. A000005, A007425, A127170, A051731, A007429, A000010, A126988, A018804.
Sequence in context: A131088 A136157 A143353 this_sequence A011087 A091422 A112298
Adjacent sequences: A127169 A127170 A127171 this_sequence A127173 A127174 A127175
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 06 2007
|
|
|
Search completed in 0.003 seconds
|
