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A129559 A054523 * A115361. 2
1, 2, 1, 2, 0, 1, 4, 2, 0, 1, 4, 0, 0, 0, 1, 4, 2, 2, 0, 0, 1, 6, 0, 0, 0, 0, 0, 1, 8, 4, 0, 2, 0, 0, 0, 1, 6, 0, 2, 0, 0, 0, 0, 0, 1, 8, 4, 0, 0, 2, 0, 0, 0, 0, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 4, 4, 2, 0, 2, 0, 0, 0, 0, 0, 1, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
row sums = A129527: (1, 3, 3, 7, 5, 9, 7, 15, ...). Left column = phi(2*n), A062570: (1, 2, 2, 4, 4, 4, 6, 8, ...).
LINKS
FORMULA
Equals A054523 * A115361 as infinite lower triangular matrices.
T(n,k) = phi(2*n/k) for k | n, T(n,k) = 0 otherwise. - Andrew Howroyd, Aug 07 2018
EXAMPLE
First few rows of the triangle:
1;
2, 1;
2, 0, 1;
4, 2, 0, 1;
4, 0, 0, 0, 1;
4, 2, 2, 0, 0, 1;
6, 0, 0, 0, 0, 0, 1;
8, 4, 0, 2, 0, 0, 0, 1;
...
PROG
(PARI) T(n, k)=if(n%k, 0, eulerphi(2*n/k)) \\ Andrew Howroyd, Aug 07 2018
CROSSREFS
Column 1 is A062570.
Row sums are A129527 (inverse Moebius transform of A062570).
Sequence in context: A099505 A156837 A255935 * A129680 A118231 A166453
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Apr 20 2007
EXTENSIONS
Terms a(56) and beyond from Andrew Howroyd, Aug 07 2018
STATUS
approved

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Last modified March 28 13:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)