

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



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

0,1


LINKS

Table of n, a(n) for n=0..83.


FORMULA

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


EXAMPLE

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


CROSSREFS

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.
Sequence in context: A151676 A151684 A118207 * A217921 A272328 A239703
Adjacent sequences: A055375 A055376 A055377 * A055379 A055380 A055381


KEYWORD

nonn,tabl


AUTHOR

Henry Bottomley, Jun 22 2000


STATUS

approved



