login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159748 If an array is made of columns of -nacci sequences, fibo-, tribo- etc. all starting w. 1,1,2 etc, the NW to SE diagonals can be extended by computation. The above is diagonal 11. See A159741 for details. 2
144, 927, 2872, 6930, 15109, 31489, 64256, 129792, 260864, 523008, 1047296, 2095872, 4193024, 8387328, 16775936, 33553152, 67107584, 134216448, 268434176, 536869632, 1073740544, 2147482368, 4294966016, 8589933312, 17179867904 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..25.

FORMULA

a(n) = 3*a(n-1) - 2*a(n-2), n > 8. - R. J. Mathar, Apr 22 2009

Interpolate a(n) = (4*n^5 - 60*n^4 + 415*n^3 - 1665*n^2 + 3826*n + 11745)/15 offset 0 and b(n) = -4*n^5 + 50*n^4 - 305*n^3 + 1127.5*n^2 - 2443.5 + 17430)/15 offset 0. Add the leading 144. Binomially transform. - Al Hakanson (hawkuu(AT)gmail.com), Jun 08 2009

MAPLE

T := proc(n, m) option remember ; if n < 0 then 0; elif n <= 1 then 1; elif n = 2 then 2; else add(procname(n-i, m), i=1..m) ; fi: end: A159748 := proc(n) T(n+10, n+1) ; end: seq(A159748(n), n=1..40) ; # R. J. Mathar, Apr 22 2009

CROSSREFS

Cf. A159741 .

Sequence in context: A223235 A187301 A120089 * A235957 A162669 A230796

Adjacent sequences:  A159745 A159746 A159747 * A159749 A159750 A159751

KEYWORD

nonn

AUTHOR

Al Hakanson (hawkuu(AT)gmail.com), Apr 20 2009

EXTENSIONS

More terms from R. J. Mathar, Apr 22 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 13:25 EDT 2021. Contains 343204 sequences. (Running on oeis4.)