A086091 -id:A086091 - cp's OEIS frontend

A086090 2^n+n3^n.

1, 5, 22, 89, 340, 1247, 4438, 15437, 52744, 177659, 591514, 1950665, 6381388, 20734391, 66977950, 215266373, 688813072, 2195513843, 6973830946, 22083492161, 69736736596, 219669514415, 690387505702, 2165301501629

Offset: 0

Paul Barry, Jul 09 2003

Binomial transform of A048474

Index entries for linear recurrences with constant coefficients, signature (8,-21,18).

Cf. A086091.

Table[2^n+n*3^n,{n,0,30}] (* or *) LinearRecurrence[{8,-21,18},{1,5,22},30] (* Harvey P. Dale, Jun 06 2017 *)

G.f.: (1-3x+3x^2)/((1-2x)(1-3x)^2)

A086092 4^n+3n5^(n-1).

Original entry on oeis.org

1, 7, 46, 289, 1756, 10399, 60346, 344509, 1940536, 10809019, 59642326, 326459929, 1774589716, 9588593239, 51537966706, 275731944949, 1469138717296, 7799162291059, 41267449945486, 217712622047569, 1145508691315276

Offset: 0

Paul Barry, Jul 09 2003

Binomial transform of A086091.

Index entries for linear recurrences with constant coefficients, signature (14,-65,100).

LinearRecurrence[{14,-65,100},{1,7,46},30] (* Harvey P. Dale, Apr 26 2025 *)

G.f.: (1-7x+13x^2)/((1-4x)(1-5x)^2)

cp's OEIS Frontend

A086090 2^n+n3^n.

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