A127425 - OEIS

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A127425

Floor((n*(n+1)^3/8)^n)-(n!)^4.

0, 0, 29, 12528, 14927013, 44632974375, 289553896419667, 3621335176611561472, 79763800168579144103361, 2886490238072828615188093125, 162510049064391484117789761805165, 13624190843866457706897020192739557376, 1640800492737366435568874082163705520197134

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Theorem: (n*(n+1)^3/8)^n > (n!)^4 for n > 1.

REFERENCES

D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.17.

LINKS

Table of n, a(n) for n=0..12.

EXAMPLE

(n*(n+1)^3/8)^n - (n!)^4 gives 0, 0, 473/16, 12528, 238832209/16, 44632974375, 1186012759734957321/4096, ...

CROSSREFS