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A092858 "Sum" of the sequences of primes and the triangular numbers (A000217). 6

%I #5 Jul 19 2013 05:04:52

%S 5,6,7,10,11,13,15,17,19,21,23,28,29,31,36,37,41,43,45,47,53,55,59,61,

%T 66,67,71,73,78,79,83,89,91,97,101,103,105,107,109,113,120,127,131,

%U 136,137,139,149,151,153,157,163,167,171,173,179,181,190,191,193,197,199

%N "Sum" of the sequences of primes and the triangular numbers (A000217).

%C If two monotonic sequences are mapped into the real codomain of (0,1) as it is defined in A051006, then the fractional part of the sum of the two reals can be mapped back into a sequence as defined in A092855, yielding the "sum" of the two sequences.

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

%o (PARI) {ssum(a,b)= /*Returns the "sum" monotonic sequences a and b */ return(mtinv(mt(a)+mt(b))) /* the functions mt(a) and mtinv(r) are defined in A051006 and A092855, respectively */ }

%Y Cf. A092855, A051006, A092857, A092859, A092860, A092861, A092862, A092863, A092874.

%K easy,nonn

%O 1,1

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

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Last modified August 3 02:19 EDT 2024. Contains 374875 sequences. (Running on oeis4.)