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A097505 Triangle read by rows: T(n,k) = Sum_{j=1..k} Prime(n+j-1).

%I A097505 #7 Sep 08 2022 08:45:14
%S A097505 2,3,8,5,12,23,7,18,31,48,11,24,41,60,83,13,30,49,72,101,132,17,36,59,
%T A097505 88,119,156,197,19,42,71,102,139,180,223,270,23,52,83,120,161,204,251,
%U A097505 304,363,29,60,97,138,181,228,281,340,401,468,31,68,109,152,199,252,311,372,439,510,583
%N A097505 Triangle read by rows: T(n,k) = Sum_{j=1..k} Prime(n+j-1).
%H A097505 G. C. Greubel, <a href="/A097505/b097505.txt">Rows n = 1..100 of triangle, flattened</a>
%F A097505 T(n,k) = A007504(n+k) - A007504(n-1).
%F A097505 T(n,0) = A000040(n).
%F A097505 T(n,1) = A001043(n) for n>1.
%F A097505 T(n,2) = A034961(n) for n>1.
%p A097505 seq(seq( sum(ithprime(n+j-1), j=1..k), k=1..n), n=1..12); # _G. C. Greubel_, Jan 19 2020
%t A097505 Table[Sum[Prime[n+j-1], {j,k}], {n,12}, {k,n}]//Flatten (* _G. C. Greubel_, Jan 19 2020 *)
%o A097505 (PARI) T(n,k) = sum(j=1,k, prime(n+j-1)); \\ _G. C. Greubel_, Jan 19 2020
%o A097505 (Magma) [&+[NthPrime(n+j-1): j in [1..k]] : k in [1..n], n in [1..12]]; // _G. C. Greubel_, Jan 19 2020
%o A097505 (Sage) [[sum(nth_prime(n+j-1) for j in (1..k)) for k in (1..n)] for n in (1..12)] # _G. C. Greubel_, Jan 19 2020
%K A097505 nonn,tabl
%O A097505 1,1
%A A097505 _Reinhard Zumkeller_, Aug 26 2004