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A051481
a(n+1) = a(n)^2 + n*(n+3)*a(n).
0
1, 5, 75, 6975, 48845925, 2385926342942625, 5692644513947697441166560792375, 32406201562178816446780055667981084047163520943188247113606875
OFFSET
0,2
COMMENTS
Each term divides the next.
EXAMPLE
75=5^2+2*5*5=25+50.
MATHEMATICA
nxt[{n_, a_}]:={n+1, a^2+a(n+1)(n+4)}; NestList[nxt, {0, 1}, 10][[All, 2]] (* Harvey P. Dale, Aug 14 2021 *)
CROSSREFS
Sequence in context: A303125 A332714 A258784 * A277296 A364323 A011918
KEYWORD
easy,nonn
AUTHOR
Dennis S. Kluk (mathemagician(AT)ameritech.net)
EXTENSIONS
Corrected by Harvey P. Dale, Aug 14 2021
STATUS
approved