A112335 Row sums of number triangle A112334.

1, -1, -4, -7, -10, -13, -16, -19, -22, -25, -28, -31, -34, -37, -40, -43, -46, -49, -52, -55, -58, -61, -64, -67, -70, -73, -76, -79, -82, -85, -88, -91, -94, -97, -100, -103, -106, -109, -112, -115, -118, -121, -124, -127, -130, -133, -136, -139, -142, -145, -148, -151, -154, -157, -160, -163, -166, -169

Offset

0,3

Links

Table of n, a(n) for n=0..57.

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

Formula

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

E.g.f.: exp(x)*(2-3*x)-1.

a(n) = 2 - 3*n - 0^n.

a(n) = 2*a(n-1) - a(n-2). - Wesley Ivan Hurt, May 15 2026

Mathematica

LinearRecurrence[{2, -1}, {1, -1, -4}, 60] (* Harvey P. Dale, Apr 21 2016 *)

Crossrefs

Cf. A016777, A112334.

Sequence in context: A360472 A190084 A145289 * A016777 A308014 A143460

Adjacent sequences: A112332 A112333 A112334 * A112336 A112337 A112338

Keyword

easy,sign

Author

Paul Barry, Sep 04 2005

Status

approved