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 A129353 A051731 * A115361. 3
 1, 2, 1, 1, 0, 1, 3, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 3, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 3, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The inverse Moebius transform of the first column of A115361 which is A209229 gives the first column of this sequence. LINKS Andrew Howroyd, Table of n, a(n) for n = 1..1275 FORMULA T(n,k) = A001511(n/k) for k | n, T(n,k) = 0 otherwise. - Andrew Howroyd, Aug 04 2018 EXAMPLE First few rows of the triangle are:   1;   2, 1;   1, 0, 1;   3, 2, 0, 1;   1, 0, 0, 0, 1;   2, 1, 2, 0, 0, 1;   1, 0, 0, 0, 0, 0, 1;   4, 3, 0, 2, 0, 0, 0, 1;   ... MAPLE A129353 := proc(n, k)         add( A051731(n, j)*A115361(j-1, k-1), j=k..n) ; end proc: # R. J. Mathar, Jul 14 2012 MATHEMATICA T[n_, k_] := If[Mod[n, k] != 0, 0, 1 + IntegerExponent[n/k, 2]]; Table[T[n, k], {n, 1, 15}, {k, 1, n}] // Flatten (* Jean-François Alcover, Apr 08 2020, from PARI *) PROG (PARI) T(n, k)={if(n%k, 0, 1 + valuation(n/k, 2))} \\ Andrew Howroyd, Aug 04 2018 CROSSREFS Column 1 is A001511. Row sums are A129628 (inverse Moebius transform of A001511). Cf. A051731, A115361. Sequence in context: A131257 A105806 A129501 * A174295 A158511 A092921 Adjacent sequences:  A129350 A129351 A129352 * A129354 A129355 A129356 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Apr 10 2007 STATUS approved

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Last modified April 21 03:06 EDT 2021. Contains 343145 sequences. (Running on oeis4.)