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Triangle read by rows: T(n,m) = Prime[m]^n*(Prime[m] - 1)/2
2

%I #7 Apr 11 2013 08:14:13

%S 1,3,9,10,50,250,21,147,1029,7203,55,605,6655,73205,805255,78,1014,

%T 13182,171366,2227758,28960854,136,2312,39304,668168,11358856,

%U 193100552,3282709384,171,3249,61731,1172889,22284891,423412929,8044845651

%N Triangle read by rows: T(n,m) = Prime[m]^n*(Prime[m] - 1)/2

%C Row sums are 1, 12, 310, 8400, 885775, 31374252, 3487878712, 161343848880, 20713255606813, 6100254882852900, ...

%C First column is A008837. - _Michel Marcus_, Apr 11 2013

%e Triangle begins

%e 1;

%e 3, 9;

%e 10, 50, 250;

%e 21, 147, 1029, 7203;

%t t[n_, m_] = Prime[m]^n*(Prime[m] - 1)/2; a = Table[Table[t[n, m], {n, 1, m}], {m, 1, 10}] Flatten[a]

%o (PARI) trga(nrows) = {for (n=1, nrows, for (m=1, n, print1(prime(n)^m*(prime(n) - 1)/2, ", ");); print(););} \\ _Michel Marcus_, Apr 11 2013

%K nonn,tabl

%O 1,2

%A _Roger L. Bagula_, May 27 2007