A182127 Main diagonal T(n,n) of array T(k,n) = n-th value of m^prime(k) + m*prime(k) + prime(k)^m.
1, 7, 67, 2551, 4208989, 1221074483, 16926683582407, 11398896079245015, 590295810437016637177, 4710128697246259342067579819, 10000000000000000819628286981111, 340039485861577398992584799927541447791, 176372588156290374069930689165295413889886285
Offset: 1
Examples
The upper left corner of the matrix is: . k\n | 1 2 3 4 5 6 ----+--------------------------------------- 1 | 1 5 12 23 40 67 (A220425) 2 | 1 7 23 63 157 383 (A220509) 3 | 1 11 67 383 1669 6275 (A220511) 4 | 1 15 191 2551 18813 94967 (A220528) 5 | 1 23 2191 178511 4208989 48989231 (A220653)
Programs
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Maple
A182127T := proc(n,k) p := ithprime(k) ; n^p+n*p+p^n ; end proc: A182127 := proc(n) A182127T(n-1,n) ; end proc: seq(A182127(n),n=1..13) ; # R. J. Mathar, Dec 22 2012