The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127172 Cube of A051731. 4
 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; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Nonzero 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). LINKS 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:    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: A136157 A266260 A143353 * A011087 A180021 A091422 Adjacent sequences:  A127169 A127170 A127171 * A127173 A127174 A127175 KEYWORD nonn,tabl,uned AUTHOR Gary W. Adamson, Jan 06 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 3 18:06 EDT 2022. Contains 355055 sequences. (Running on oeis4.)