A115132 Partial sums of A064059.

132, 561, 1562, 3564, 7204, 13392, 23388, 38892, 62148, 96063, 144342, 211640, 303732, 427702, 592152, 807432, 1085892, 1442157, 1893426, 2459796, 3164612, 4034844, 5101492, 6400020, 7970820, 9859707, 12118446, 14805312, 17985684

Offset

0,1

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Formula

G.f.:(132-495*x+770*x^2-616*x^3+252*x^4-42*x^5)/(1-x)^8.

a(n)=A115127(n+6, 6), n>=1, a(0):=C(6)=132, with C(n):=A000108(n) (Catalan).

Mathematica

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {132, 561, 1562, 3564, 7204, 13392, 23388, 38892}, 40] (* Harvey P. Dale, Jul 22 2024 *)

Crossrefs

Cf. A115130 (fifth column of A115127).

Sequence in context: A257105 A204834 A241288 * A158543 A156958 A305271

Adjacent sequences: A115129 A115130 A115131 * A115133 A115134 A115135

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 13 2006

Status

approved