A174928 Partial sums of A174927.

1, 65, 66, 130, 131, 195, 196, 260, 261, 325, 326, 390, 391, 455, 456, 520, 521, 585, 586, 650, 651, 715, 716, 780, 781, 845, 846, 910, 911, 975, 976, 1040, 1041, 1105, 1106, 1170, 1171, 1235, 1236, 1300, 1301, 1365, 1366, 1430, 1431, 1495, 1496, 1560

Offset: 0

Author

Klaus Brockhaus, Apr 02 2010

Keywords

• nonn

Comments

First differences of A174929.

Links

• Index entries for linear recurrences with constant coefficients, signature (1, 1, -1).

Crossrefs

Cf. A174927 (repeat 1, 64), A174929.

Programs

Magma

T:=&cat[ [1, 64]: n in [0..23] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T] ];
[ n le 2 select 64*n-63 else Self(n-2)+65: n in [1..48] ];

Formula

a(n) = (67+130*n-63*(-1)^n)/4.

a(n) = a(n-2)+65 for n > 1; a(0) = 1, a(1) = 65.

a(n) = ((n+1) mod 2) + 65*floor((n+1)/2).

G.f.: (1+64*x)/((1-x)^2*(1+x)).