A197193 a(n) = binomial(n+10, 10)*7^n.

1, 77, 3234, 98098, 2403401, 50471421, 942133192, 16016264264, 252256162158, 3727785507446, 52188997104244, 697434779483988, 8950413003377846, 110847422580294862, 1330169070963538344, 15518639161241280680, 176524520459119567735, 1962537315692564605995, 21369850770874592376390, 228319984551975908021430

Offset: 0

Author

Vincenzo Librandi, Oct 13 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..400
• Index entries for linear recurrences with constant coefficients, signature (77,-2695,56595,-792330,7764834,-54353838,271769190,-951192165,2219448385,-3107227739,1977326743).

Crossrefs

Cf. A139641, A140107, A140404, A170932

Programs

Magma

[Binomial(n+10, 10)*7^n: n in [0..20]];

Mathematica

Table[Binomial[n+10,10]7^n,{n,0,30}] (* or *) LinearRecurrence[{77,-2695,56595,-792330,7764834,-54353838,271769190,-951192165,2219448385,-3107227739,1977326743},{1,77,3234,98098,2403401,50471421,942133192,16016264264,252256162158,3727785507446,52188997104244},30] (* Harvey P. Dale, Jul 11 2025 *)

Formula

a(n) = C(n + 10, 10)*7^n.

G.f.: -1 / (7*x-1)^11 . - R. J. Mathar, Oct 13 2011