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A248009 Partition of the positive odd integers into minimal blocks such that the concatenation of the numbers in each block is an evil number (A001969). Sequence lists the evil numbers obtained in this way. 4

%I #22 Oct 12 2014 13:13:13

%S 135,7911,131517,19212325272931,33,35373941,43,45,4749,51,53,5557,

%T 596163,65,676971,737577,798183,85,8789,9193,95,9799101103105,107109,

%U 111,113,115117119,121123125127129,131133,135,137139,141,143145147,149,151153155157,159

%N Partition of the positive odd integers into minimal blocks such that the concatenation of the numbers in each block is an evil number (A001969). Sequence lists the evil numbers obtained in this way.

%C The numbers of the consecutive positive odd integers in the blocks of the partition are 3,3,3,7,1,4,1,1,2,1,1,2,3,1,3,3,3,1,2,2,...

%H Peter J. C. Moses, <a href="/A248009/b248009.txt">Table of n, a(n) for n = 1..1000</a>

%e a(1)=135, since 1 and 13 are odious numbers, while 135 is evil.

%o (PARI) lista(nn) = {s = ""; forstep(n=1, nn, 2, ns = concat(s, Str(n)); if ((hammingweight(eval(ns)) % 2) == 0, print1(ns, ", "); s = "", s = ns););} \\ _Michel Marcus_, Oct 09 2014

%Y Cf. A248138, A248140, A248145, A248146, A248171, A248172.

%K nonn,base

%O 1,1

%A _Vladimir Shevelev_, Oct 05 2014

%E More terms from _Peter J. C. Moses_, Oct 09 2014

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Last modified April 24 16:25 EDT 2024. Contains 371961 sequences. (Running on oeis4.)