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.

55, 274, 773, 1793, 3840, 7936, 16128, 32512, 65280, 130816, 261888, 524032, 1048320, 2096896, 4194048, 8388352, 16776960, 33554176, 67108608, 134217472, 268435200, 536870656, 1073741568, 2147483392, 4294967040, 8589934336, 17179868928, 34359738112

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

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]

a(n) = 2^(7+n)-256 for n>=5. - R. J. Mathar, Feb 04 2021

Mathematica

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

Crossrefs

Sequence in context: A296036 A286854 A020182 * A212408 A350286 A250092

Adjacent sequences: A159743 A159744 A159745 * A159747 A159748 A159749

Keyword

nonn,easy

Author

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

Extensions

a(7) and beyond by R. J. Mathar, Feb 04 2021

Status

approved