A054405 Row sums of array T as in A055215.

1, 2, 3, 5, 7, 10, 14, 19, 26, 35, 47, 63, 84, 112, 149, 198, 263, 349, 463, 614, 814, 1079, 1430, 1895, 2511, 3327, 4408, 5840, 7737, 10250, 13579, 17989, 23831, 31570, 41822, 55403, 73394, 97227, 128799, 170623, 226028, 299424

Offset

0,2

Comments

Partial sums of A134816. - Omar E. Pol, Jan 02 2009

Links

Table of n, a(n) for n=0..41.

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

Formula

If you add 2 to each term, you get the Padovan sequence A000931. - Gabriel Nivasch (gnivasch(AT)yahoo.com), Oct 15 2003

Partial sums of Padovan sequence A000931(n+5). G.f. : (1+x)/(1-x-x^2+x^4); a(n)=a(n-1)+a(n-2)-a(n-4). - Paul Barry, Jun 21 2004, sign corrected R. J. Mathar, Oct 16 2010

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -1, 0, 1, 1]^n*[1; 2; 3; 5])[1, 1] \\ Charles R Greathouse IV, May 29 2026

Crossrefs

Cf. A134816, A055215, A000931.

Sequence in context: A102108 A105780 A001522 * A155167 A325858 A237269

Adjacent sequences: A054402 A054403 A054404 * A054406 A054407 A054408

Keyword

nonn,easy

Author

Clark Kimberling, May 07 2000

Extensions

Signs in formula corrected by R. J. Mathar, Oct 16 2010

Status

approved