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

Author

Wolfdieter Lang, Jan 13 2006

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A115130 (fifth column of A115127).

Programs

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 *)

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).