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A154225 List of pairs: {n*(n + 1)*(2*n + 1)/6, (n!)^2}. 1
0, 1, 1, 1, 5, 4, 14, 36, 30, 576, 55, 14400, 91, 518400, 140, 25401600, 204, 1625702400, 285, 131681894400, 385, 13168189440000, 506, 1593350922240000, 650, 229442532802560000, 819, 38775788043632640000, 1015 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..500

FORMULA

Clear[a, n, n]; a[0] = 0; a[n_] := a[n] = n^2 + a[n - 1];

b[0] = 1; b[n_] := b[n] = n^2*b[n - 1];

Table[{a[n] - n*(n + 1)*(2*n + 1)/6, b[n] - (n!)^2}, {n, 0, 10}] {{0, 0}, {0, 0}, {0, 0}, {0, 0}, {0, 0}, { 0, 0}, {0, 0}, {0, 0}, {0, 0}, {0, 0}, {0, 0}}

MATHEMATICA

Flatten[Table[{n*(n + 1)*(2*n + 1)/6, (n!)^2}, {n, 0, 15}]]

CROSSREFS

Sequence in context: A158867 A107984 A133178 * A188627 A203976 A213566

Adjacent sequences:  A154222 A154223 A154224 * A154226 A154227 A154228

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Jan 05 2009

STATUS

approved

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Last modified September 28 08:33 EDT 2020. Contains 337394 sequences. (Running on oeis4.)