A174929 Partial sums of A174928.

1, 66, 132, 262, 393, 588, 784, 1044, 1305, 1630, 1956, 2346, 2737, 3192, 3648, 4168, 4689, 5274, 5860, 6510, 7161, 7876, 8592, 9372, 10153, 10998, 11844, 12754, 13665, 14640, 15616, 16656, 17697, 18802, 19908, 21078, 22249, 23484, 24720, 26020

Offset

0,2

Links

Table of n, a(n) for n=0..39.

Index entries for linear recurrences with constant coefficients, signature (2, 0, -2, 1).

Formula

a(n) = (71+264*n+130*n^2-63*(-1)^n)/8.

a(n) = a(n-1)+a(n-2)-a(n-3)+65 for n > 2; a(0) = 1, a(1) = 66, a(2) = 132.

G.f.: (1+64*x)/((1-x)^3*(1+x)).

Mathematica

LinearRecurrence[{2, 0, -2, 1}, {1, 66, 132, 262}, 60] (* Harvey P. Dale, Jul 12 2021 *)

Prog

(Magma) T:=&cat[ [1, 64]: n in [0..19] ]; U:=[ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T] ]; [ n eq 1 select U[1] else Self(n-1)+U[n]: n in [1..#U] ];
[ n eq 1 select 1 else n le 3 select 66*(n-1) else Self(n-1)+Self(n-2)-Self(n-3)+65: n in [1..40] ];

Crossrefs

Cf. A174928 (partial sums of A174927), A174927 (repeat 1, 64).

Sequence in context: A160848 A160278 A206030 * A072430 A278126 A044317

Adjacent sequences: A174926 A174927 A174928 * A174930 A174931 A174932

Keyword

nonn

Author

Klaus Brockhaus, Apr 02 2010

Status

approved