A092860 - OEIS

%I #2 Feb 20 2005 03:00:00

%S 3,4,5,6,7,10,11,12,13,16,17,18,19,22,23,28,29,30,31,36,37,40,41,42,

%T 43,46,47,52,53,58,59,60,61,66,67,70,71,72,73,78,79,82,83,88,89,96,97,

%U 100,101,102,103,106,107,108,109,112,113,126,127,130,131,136,137,138,139

%N "3 times the prime sequence".

%C By iterating the addition to itself a monotonic sequence, according to the definition given in A092858, we can multiply the monotonic sequences by natural numbers.

%C Note, that it is easy to see that for an i natural and a v monotonic sequence, i(x)compl(v)=compl(i(x)v); where the "(x)" mark stands for the "integer multiplication of a sequence" and the function "compl" produces the complement of a positive monotonic sequence.

%H Ferenc Adorjan, <a href="http://web.axelero.hu/fadorjan/aronsf.pdf">Binary mapping of monotonic sequences and the Aronson function</a>

%o (PARI) {imulv(i,v)= /*Returns "i (x) v" monotonic sequence */ return(mtinv(i*mt(v))) /* the functions mt(a) and mtinv(r) are defined in A051006 and A092855, respectively */ }

%Y Cf. A092855, A051006, A092857, A092858, A092859, A092861, A092862, A092863, A092874.

%K easy,nonn

%O 1,1

%A Ferenc Adorjan (fadorjan(AT)freemail.hu)