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 A316429 Heinz numbers of integer partitions whose length is equal to their LCM. 11
 2, 6, 9, 20, 50, 56, 84, 125, 126, 176, 189, 196, 240, 294, 360, 416, 441, 540, 600, 624, 686, 810, 900, 936, 968, 1029, 1040, 1088, 1215, 1350, 1404, 1500, 1560, 2025, 2106, 2250, 2340, 2401, 2432, 2600, 2704, 3159, 3375, 3510, 3648, 3750, 3900, 4056, 5265 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A110295 is a subsequence. LINKS David A. Corneth, Table of n, a(n) for n = 1..10822 (Terms <= 5 * 10^11) EXAMPLE 3750 is the Heinz number of (3,3,3,3,2,1), whose length and lcm are both 6. MATHEMATICA Select[Range[2, 200], PrimeOmega[#]==LCM@@Cases[FactorInteger[#], {p_, k_}:>PrimePi[p]]&] PROG (PARI) heinz(n) = my(f=factor(n), pr=f[, 1]~, exps=f[, 2], res=vector(vecsum(exps)), t=0); for(i = 1, #pr, pr[i] = primepi(pr[i]); for(j=1, exps[i], t++; res[t] = pr[i])); res is(n) = my(h = heinz(n)); lcm(h)==#h \\ David A. Corneth, Jul 05 2018 CROSSREFS Cf. A056239, A074761, A110295, A143773, A237984, A289508, A289509, A290103, A296150, A316413, A316428, A316430, A316431. Sequence in context: A279897 A336131 A095967 * A337639 A047161 A318193 Adjacent sequences:  A316426 A316427 A316428 * A316430 A316431 A316432 KEYWORD nonn,easy AUTHOR Gus Wiseman, Jul 02 2018 STATUS approved

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Last modified May 20 20:15 EDT 2022. Contains 353876 sequences. (Running on oeis4.)