%I #23 Jan 24 2020 06:59:54

%S 0,107,214,321,428,535,642,749,856,963,1070,1177,1284,1391,1498,1605,

%T 1712,1819,1926,2033,2140,2247,2354,2461,2568,2675,2782,2889,2996,

%U 3103,3210,3317,3424,3531,3638,3745,3852,3959,4066,4173,4280,4387,4494,4601,4708

%N a(n) = 107*n.

%C For n > 0, a(n)^5 has a partition as the sum of fifth powers of five positive numbers: (107n)^5 = (7n)^5 + (43n)^5 + (57n)^5 + (80n)^5 + (100n)^5. [Corrected by _Jianing Song_, Jan 24 2020]

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F G.f.: 107*x/(-1+x)^2. - _R. J. Mathar_, Nov 14 2007

%e 107^5 = 7^5 + 43^5 + 57^5 + 80^5 + 100^5.

%t Table[107n, {n, 0, 30}]

%o (PARI) a(n) = 107*n \\ _Jianing Song_, Jan 24 2020

%Y Cf. A134298, A063923.

%Y Without the initial 0, subsequence of A063922 (k such that k^5 = a^5+b^5+c^5+d^5+e^5, where at least two of a,b,c,d,e are nonzero).

%K nonn

%O 0,2

%A _Artur Jasinski_, Oct 18 2007

%E a(0) prepended by _Jianing Song_, Jan 24 2020