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 A160915 Row sums of triangle defined in A095181. 1
 2, 7, 48, 34, 125, 243, 1106, 852, 819, 2630, 1606, 5262, 8099, 4333, 7110, 18968, 18819, 25119, 25042, 18330, 51723, 105919, 73002, 104532, 155125, 94601, 234792, 102410, 344607, 258735, 394072, 668336, 358809, 661657, 302120, 813726, 198283 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..37. EXAMPLE Fifth row is 11, 18, 25, 32, 39, so a(5) = 125. MATHEMATICA a[n_] := For[r = 1, True, r++, ro = Table[Prime[n] + k* r, {k, 0, n - 1}]; If[AllTrue[Rest[ro], CompositeQ[#] && ! Divisible[#, Prime[n]] &], Return[ro // Total]]]; Table[a[n], {n, 1, 37}] (* Jean-François Alcover, Sep 26 2017 *) PROG (Magma) ap:=function(j) p:=NthPrime(j); a:=1; while true do S:=[ x: x in [p+a..p+a*(j-1) by a] ]; if forall(t) {x: x in S | not IsPrime(x) and x mod p gt 0 } then return [p] cat S; else a+:=1; end if; end while; end function; [ &+ap(j): j in [1..37] ]; CROSSREFS Cf. A095181. Sequence in context: A254439 A341214 A106159 * A330474 A277501 A277503 Adjacent sequences: A160912 A160913 A160914 * A160916 A160917 A160918 KEYWORD nonn AUTHOR Klaus Brockhaus, May 30 2009 STATUS approved

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Last modified April 12 10:04 EDT 2024. Contains 371627 sequences. (Running on oeis4.)