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 A371487 Expansion of e.g.f. Product_{k>=2} 1 / (1 - x^k/k). 1
 1, 0, 1, 2, 12, 44, 380, 2064, 20888, 166368, 1872792, 18917040, 253473792, 3042859104, 45895372224, 661334985024, 11073993828480, 182021308975104, 3418263102400128, 63023443312105728, 1302276954815368704, 26806365139264980480, 603186053115872024064, 13651035149069305878528 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..23. MAPLE with(combinat): b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<2, 0, add( (i-1)!^j*b(n-i*j, i-1)*multinomial(n, n-i*j, i\$j), j=0..n/i))) end: a:= n-> b(n\$2): seq(a(n), n=0..23); # Alois P. Heinz, Mar 26 2024 MATHEMATICA nmax = 23; CoefficientList[Series[Product[1/(1 - x^k/k), {k, 2, nmax}], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A007841, A371485, A371493. Sequence in context: A025495 A028570 A009074 * A356868 A267344 A275132 Adjacent sequences: A371484 A371485 A371486 * A371488 A371489 A371490 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Mar 25 2024 STATUS approved

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Last modified August 12 03:27 EDT 2024. Contains 375085 sequences. (Running on oeis4.)