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A055258 Sums of two powers of 7. 6

%I #14 Dec 31 2017 12:28:45

%S 2,8,14,50,56,98,344,350,392,686,2402,2408,2450,2744,4802,16808,16814,

%T 16856,17150,19208,33614,117650,117656,117698,117992,120050,134456,

%U 235298,823544,823550,823592,823886,825944,840350,941192,1647086,5764802,5764808

%N Sums of two powers of 7.

%H T. D. Noe, <a href="/A055258/b055258.txt">Rows n = 0..100 of triangle, flattened</a>

%F a(n) = 7^(n-trinv(n))+7^trinv(n), where trinv(n) = floor((1+sqrt(1+8*n))/2) = A002262(n) and n-trinv(n) = A003056(n)

%F Regarded as a triangle T(n, k) = 7^n + 7^k, so as a sequence a(n) = 7^A002262(n) + 7^A003056(n).

%t t = 7^Range[0, 9]; Select[Union[Flatten[Table[i + j, {i, t}, {j, t}]]], # <= t[[-1]] + 1 &] (* _T. D. Noe_, Oct 09 2011 *)

%t Total/@Tuples[7^Range[0,10],2]//Union (* _Harvey P. Dale_, Dec 31 2017 *)

%Y Cf. A052216.

%Y Equals 2*A073218.

%K easy,nonn,tabl

%O 0,1

%A _Henry Bottomley_, Jun 22 2000

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Last modified September 13 00:40 EDT 2024. Contains 375857 sequences. (Running on oeis4.)