login
A088351
G.f. A(x) satisfies: 1+x = A(xA(2xA(3xA(4xA(...(n*xA(...))))))).
0
1, 1, -2, 10, -80, 1000, -21872, 977584, -96293648, 20624493808, -9328274380160, 8744603171127040, -16802076392609925440, 65695424926762378460992, -520141011157056880989068672
OFFSET
0,3
EXAMPLE
A(xA(2xA(3xA(4x)))) = 1 + x - 120x^5 + 5280x^6 - 192000x^7 +-...
A(xA(2xA(3xA(4xA(5x))))) = 1 + x - 720x^6 + 46800x^7 - 2332800x^8 +-...
A(xA(2xA(...(n-2)xA((n-1)x)))) = 1 + x - n!x^n + (n-1)(2n+1)n!x^(n+1) -+...
CROSSREFS
Sequence in context: A269353 A064312 A063902 * A367432 A231919 A174962
KEYWORD
sign
AUTHOR
Paul D. Hanna, Sep 26 2003
STATUS
approved