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A238377 Row sums of triangle in A204028. 2

%I #8 Aug 08 2015 09:07:04

%S 1,2,6,10,17,24,34,44,57,70,86,102,121,140,162,184,209,234,262,290,

%T 321,352,386,420,457,494,534,574,617,660,706,752,801,850,902,954,1009,

%U 1064,1122,1180

%N Row sums of triangle in A204028.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2,1).

%F G.f.: (1+2*x^2)/((1+x)*(1-x)^3)).

%F a(2*n) = A056109(n).

%F a(2*n+1) = A049450(n+1) = 2*A000326(n+1).

%F a(n) = 2*a(n-1) - 2*a(n-3) + a(n-4), a(0) = 1, a(1) = 2, a(2) = 6, a(3) = 10.

%e Triangle in A204028 begins:

%e 1;............................sum = 1

%e 1, 1;.........................sum = 2

%e 1, 4, 1;......................sum = 6

%e 1, 4, 4, 1;...................sum = 10

%e 1, 4, 7, 4, 1;................sum = 17

%e 1, 4, 7, 7, 4, 1;.............sum = 24

%e 1, 4, 7, 10, 7, 4, 1;.........sum = 34

%e 1, 4, 7, 10, 10, 7, 4, 1;.....sum = 44

%Y Cf. A056109, A049450, A204028.

%K easy,nonn

%O 0,2

%A _Philippe Deléham_, Feb 25 2014

%E Corrected by _R. J. Mathar_, Aug 08 2015

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