This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A325614 Unsorted q-signature of n. 7
 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 3, 1, 2, 2, 1, 4, 2, 1, 1, 3, 2, 3, 1, 3, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 2, 1, 4, 1, 2, 2, 2, 3, 1, 1, 3, 3, 4, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 5, 2, 2, 1, 1, 3, 1, 1, 3, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Every positive integer has a unique q-factorization (encoded by A324924) into factors q(i) = prime(i)/i, i > 0. For example:    11 = q(1) q(2) q(3) q(5)    50 = q(1)^3 q(2)^2 q(3)^2   360 = q(1)^6 q(2)^3 q(3) Row n lists the nonzero multiplicities in the q-factorization of n, in order of q-index. For example, row 11 is (1,1,1,1) and row 360 is (6,3,1). LINKS EXAMPLE Triangle begins:   {}   1   1 1   2   1 1 1   2 1   2 1   3   2 2   2 1 1   1 1 1 1   3 1   2 1 1   3 1   2 2 1   4   2 1 1   3 2   3 1   3 1 1 MATHEMATICA difac[n_]:=If[n==1, {}, With[{i=PrimePi[FactorInteger[n][[1, 1]]]}, Sort[Prepend[difac[n*i/Prime[i]], i]]]]; Table[Length/@Split[difac[n]], {n, 30}] CROSSREFS Row lengths are A324923. Row sums are A196050. Row-maxima are A109129. Cf. A118914, A324922, A324924, A324931, A324934, A325608, A325609, A325613, A325615, A325660. Sequence in context: A136755 A156775 A064693 * A319608 A230850 A072085 Adjacent sequences:  A325611 A325612 A325613 * A325615 A325616 A325617 KEYWORD nonn,tabf AUTHOR Gus Wiseman, May 12 2019 STATUS approved

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

Last modified December 6 06:34 EST 2019. Contains 329784 sequences. (Running on oeis4.)