login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159746 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 9. See A159741 for details. 2

%I #16 Aug 18 2022 18:15:07

%S 55,274,773,1793,3840,7936,16128,32512,65280,130816,261888,524032,

%T 1048320,2096896,4194048,8388352,16776960,33554176,67108608,134217472,

%U 268435200,536870656,1073741568,2147483392,4294967040,8589934336,17179868928,34359738112

%N 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 9. See A159741 for details.

%H Harvey P. Dale, <a href="/A159746/b159746.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).

%F Interpolate a(n)=(4*n^3-30*n^2+92*n+657)/3 offset 0 & b(n)=(-4*n^3+24*n^2-65*n+840)/3 offset 0. Add 55 as a leader. Binomially transform. [From Al Hakanson (hawkuu(AT)gmail.com), Jun 08 2009]

%F a(n) = 2^(7+n)-256 for n>=5. - _R. J. Mathar_, Feb 04 2021

%t LinearRecurrence[{3,-2},{55,274,773,1793,3840,7936},30] (* _Harvey P. Dale_, Aug 18 2022 *)

%K nonn,easy

%O 1,1

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

%E a(7) and beyond by _R. J. Mathar_, Feb 04 2021

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)