A377596 - OEIS

A377596

a(n) = (a(n-1) + a(n-2))^5 for n>=2 where a(0) = 0, a(1) = 1

0, 1, 1, 32, 39135393, 91801604643057285538237803582587890625

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OFFSET

0,4

COMMENTS

A second quintic Fibonacci sequence; compare to A112980.

a(6) contains 190 digits and is too large to display here.

LINKS

FORMULA

a(n) = (a(n-1) + a(n-2))^5.

a(n) = A112980(n)^5.

EXAMPLE

a(3) = 32 = (1+1)^5 = A112980(3)^5.

MATHEMATICA

Module[{a, n}, RecurrenceTable[{a[0] == 0, a[1] == 1, a[n] == (a[n-1] + a[n-2])^5}, a, {n, 6}]] (* or *)

A377596[n_] := If[n < 2, n, (A377596[n-1] + A377596[n-2])^5];

Array[A377596, 7, 0] (* Paolo Xausa, Nov 30 2024 *)

CROSSREFS

KEYWORD

nonn,easy,new

AUTHOR

Lyle Blosser, Nov 29 2024

STATUS

approved