A162008 Third right hand column of the EG1 triangle A162005.

16, 1032, 36096, 1035088, 27426960, 702812568, 17753262208, 445736371872, 11162877175440, 279268061007400, 6983654996144256, 174610650719469552, 4365455001524490256, 109138210900706764728, 2728473030627812279040

Offset

1,1

Links

Table of n, a(n) for n=1..15.

Index entries for linear recurrences with constant coefficients, signature (46,-663,3748,-7711,6606,-2025).

Formula

a(n) = (64*n^2+112*n+30-432*n*9^n-405*9^n+375*25^n)/128.

a(n) = 46*a(n-1)-663*a(n-2)+3748*a(n-3)-7711*a(n-4)+6606*a(n-5)-2025*a(n-6).

G.f.: (16+296*z-768*z^2-1080*z^3)/((1-z)^3*(1-9*z)^2*(1-25*z)).

Crossrefs

Third right hand column of the EG1 triangle A162005.

Other right hand columns are A004004 (2x), A162009 and A162010.

Cf. A162011 and A162014.

Sequence in context: A130036 A013735 A180376 * A332471 A195619 A348862

Adjacent sequences: A162005 A162006 A162007 * A162009 A162010 A162011

Keyword

easy,nonn

Author

Johannes W. Meijer, Jun 27 2009

Status

approved