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A007463 Shifts left under lcm-convolution with itself.
(Formerly M1457)
5
1, 1, 2, 5, 14, 40, 128, 369, 1214, 3516, 12776, 40534, 137404, 463232, 1602348, 5216253, 17753898, 58597316, 212150928, 710453534, 2366853608, 8584498376, 30026959300, 100396304016, 333997297900, 1157269900344, 3852364562536, 13917848281928, 45618032373712 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
MAPLE
a:= proc(n) option remember;
`if`(n=0, 1, add(ilcm(a(i), a(n-1-i)), i=0..n-1))
end:
seq(a(n), n=0..30); # Alois P. Heinz, Jun 22 2012
MATHEMATICA
a[0]=1; a[1]=1; a[n_] := a[n] = Sum[LCM[a[k], a[n-k-1]], {k, 0, n-1}]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Sep 07 2012, after Alois P. Heinz *)
PROG
(PARI) N=66; v=vector(N); v[1]=1; for(n=2, N, v[n]=sum(k=1, n-1, lcm(v[k], v[n-k])) ); v \\ Joerg Arndt, Jun 30 2013
CROSSREFS
Sequence in context: A151417 A045632 A148321 * A159308 A163189 A243881
KEYWORD
nonn,nice,eigen
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)