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A364170
Related to expression as an alternating sum of k-th powers.
0
1, 3, 6, 10, 26, 170, 7226, 13053770, 42600227803226, 453694852221687377444001770, 51459754733114686962148583993443846186613037940783226, 662026589298079856793872781777756720070052610825509991367405555066143474558289627235647952526950580741770
OFFSET
1,2
COMMENTS
For n>=3 we have a(n+1) = (1/4)*(a(n)+2)^2 - a(n).
LINKS
E. Lemoine, Sur la décomposition d'un nombre en ses carrés maxima, Assoc. Française pour L'Avancement des Sciences (1896), 73-77.
MATHEMATICA
a[1]=1; a[2]=3; a[3]=6; a[n_]:=(1/4)(a[n-1]+2)^2 - a[n-1]; Array[a, 12] (* Stefano Spezia, Jul 12 2023 *)
CROSSREFS
Sequence in context: A117224 A173957 A048006 * A211231 A302094 A068818
KEYWORD
nonn,easy
AUTHOR
Jeffrey Shallit, Jul 12 2023
STATUS
approved