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 A304737 Restricted growth sequence transform of A278222(A064413(n)). 3
 1, 1, 1, 2, 2, 3, 2, 1, 3, 3, 4, 3, 5, 5, 6, 2, 1, 3, 7, 7, 3, 8, 4, 7, 7, 5, 7, 7, 9, 3, 1, 3, 3, 8, 6, 7, 7, 9, 10, 3, 7, 9, 9, 6, 2, 7, 7, 8, 5, 7, 11, 4, 12, 3, 7, 9, 9, 13, 3, 14, 14, 13, 3, 1, 3, 6, 6, 15, 10, 9, 7, 3, 6, 6, 15, 6, 6, 10, 7, 10, 10, 3, 10, 16, 17, 7, 9, 18, 18, 10, 2, 7, 19, 7, 8, 8, 10, 8, 10, 10, 17, 9, 12, 5, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Sequence allots a distinct value for each distinct multiset formed from the lengths of 1-runs in the binary representation of A064413(n), the n-th term of EKG-sequence. Compare to the scatter plot of A286622. LINKS Antti Karttunen, Table of n, a(n) for n = 1..65539 PROG (PARI) \\ Needs also code for A064413. rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; }; A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523 A278222(n) = A046523(A005940(1+n)); v304737 = rgs_transform(vector(65539, n, A278222(A064413(n)))); A304737(n) = v304737[n]; CROSSREFS Cf. A064301, A064413, A278222, A286622. Cf. also A304738. Sequence in context: A162915 A242266 A239617 * A092565 A021452 A093420 Adjacent sequences:  A304734 A304735 A304736 * A304738 A304739 A304740 KEYWORD nonn AUTHOR Antti Karttunen, May 18 2018 STATUS approved

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Last modified October 1 04:06 EDT 2020. Contains 337441 sequences. (Running on oeis4.)