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 A077655 Number of consecutive successors of n having the same number of prime factors as n (counted with multiplicity). 4
 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,33 COMMENTS If a(n) > 0 then a(n+1) = a(n)-1. LINKS Antti Karttunen, Table of n, a(n) for n = 1..100000 EXAMPLE 33=3*11 has only two successors also with two factors: 34=2*17 and 35=5*7 (whereas 33+3=36=2*2*3*3), therefore a(33)=2. MATHEMATICA snpf[n_]:=Module[{f=PrimeOmega[n], k=0}, While[f==PrimeOmega[n+k], k++]; k]; Array[snpf, 110]-1 (* Harvey P. Dale, Aug 01 2021 *) PROG (PARI) A077655(n) = { my(k=n+1, w=bigomega(n)); while(bigomega(k)==w, k++); (k-n)-1; }; \\ Antti Karttunen, Jan 22 2020 CROSSREFS Cf. A001222, A077656, A045920, A045939, A045940, A045941, A045942, A077657. Sequence in context: A037874 A343870 A339070 * A117886 A145723 A085977 Adjacent sequences:  A077652 A077653 A077654 * A077656 A077657 A077658 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 13 2002 STATUS approved

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Last modified December 3 18:19 EST 2021. Contains 349467 sequences. (Running on oeis4.)