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A055378 Table read by antidiagonals: T(n,k) = n^trinv(k)+n^(k-((trinv(k)*(trinv(k)-1))/2)) where trinv (k) = floor((1+sqrt(1+8*k))/2) and with 0^0 = 1. 0

%I #4 Mar 30 2012 18:51:26

%S 2,1,2,0,2,2,1,2,3,2,0,2,4,4,2,0,2,5,6,5,2,1,2,6,10,8,6,2,0,2,8,12,17,

%T 10,7,2,0,2,9,18,20,26,12,8,2,0,2,10,28,32,30,37,14,9,2,1,2,12,30,65,

%U 50,42,50,16,10,2,0,2,16,36,68,126,72,56,65,18,11,2,0,2,17,54,80,130

%N Table read by antidiagonals: T(n,k) = n^trinv(k)+n^(k-((trinv(k)*(trinv(k)-1))/2)) where trinv (k) = floor((1+sqrt(1+8*k))/2) and with 0^0 = 1.

%F T(n, k) = n^A025581(k)+n^A002262(k)

%e a(50) = T(5,4) = 5^2+5^1 = 30

%Y Rows include A010054 (apart from initial term), A007395 and A048645 (offset). Subsequent rows are sums of two powers of a given number and also rewritings of A052216 from a particular base to base 10. Columns include A007395, A000027, A005843, A002522, A002378, A001105, A001093, A034262, A011379, A033431, A002523.

%K nonn,tabl

%O 0,1

%A _Henry Bottomley_, Jun 22 2000

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