cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A348422 Triangle of the Multiset Transformation of A060280.

This page as a plain text file.
%I A348422 #14 Oct 29 2021 10:39:01
%S A348422 1,0,1,1,0,1,1,1,0,1,2,1,1,0,1,2,3,1,1,0,1,4,3,3,1,1,0,1,5,7,3,3,1,1,
%T A348422 0,1,8,9,8,3,3,1,1,0,1,11,17,10,8,3,3,1,1,0,1,18,24,20,10,8,3,3,1,1,0,
%U A348422 1,25,42,29,21,10,8,3,3,1,1,0,1,40,62,53,30,21,10,8,3,3,1,1,0,1
%N A348422 Triangle of the Multiset Transformation of A060280.
%H A348422 Alois P. Heinz, <a href="/A348422/b348422.txt">Rows n = 1..200, flattened</a>
%H A348422 <a href="/index/Mu#multiplicative_completely">Index entries for triangles generated by the Multiset Transformation</a>
%F A348422 G.f.: Product_{j>=1} 1/(1-y*x^j)^A060280(j). - _Jean-François Alcover_, Oct 29 2021
%e A348422 The triangle starts
%e A348422    1
%e A348422    0   1
%e A348422    1   0   1
%e A348422    1   1   0   1
%e A348422    2   1   1   0   1
%e A348422    2   3   1   1   0   1
%e A348422    4   3   3   1   1   0   1
%e A348422    5   7   3   3   1   1   0   1
%e A348422    8   9   8   3   3   1   1   0   1
%e A348422   11  17  10   8   3   3   1   1   0   1
%e A348422   18  24  20  10   8   3   3   1   1   0   1
%e A348422   25  42  29  21  10   8   3   3   1   1   0   1
%e A348422   40  62  53  30  21  10   8   3   3   1   1   0   1
%e A348422   58 105  80  56  30  21  10   8   3   3   1   1   0   1
%e A348422   90 159 141  85  57  30  21  10   8   3   3   1   1   0   1
%e A348422   ...
%t A348422 nn = 13;
%t A348422 f[n_] := Fibonacci[n-1] + Fibonacci[n+1] - (-1)^n - 1;
%t A348422 b[n_] := (1/n) DivisorSum[n, MoebiusMu[#] f[n/#]&];
%t A348422 Rest@CoefficientList[#, y]& /@ (Series[Product[1/(1 - y x^i)^b[i], {i, 1, nn}], {x, 0, nn}] // Rest@CoefficientList[#, x]&) // Flatten (* _Jean-François Alcover_, Oct 29 2021 *)
%Y A348422 Cf. A060280 (column k=1), A000045 (row sums).
%K A348422 nonn,tabl
%O A348422 1,11
%A A348422 _R. J. Mathar_, Oct 18 2021