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A055776 a(n)=a(n-1)^3+a(n-1)^2+a(n-1)+1. 0
0, 1, 4, 85, 621436, 239988219843053389, 13821964488793901254190711941736196403535171578341580 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n) is asymptotic to c^(3^n) - 1/3 where c=1.056431004248312118265251254776175173104598976924006344252579493163876246969557582... - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Dec 08 2007

EXAMPLE

a(3)=4^3+4^2+4+1=64+16+4+1=85

PROG

(PARI) a=vector(6); a[1]=1; print1("0, 1, "); for(n=2, 6, a[n]=a[n-1]^3+a[n-1]^2+a[n-1]+1; print1(a[n], ", ")) - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Dec 08 2007

CROSSREFS

Cf. A002065.

Sequence in context: A059830 A189831 A116330 * A055591 A055764 A163279

Adjacent sequences:  A055773 A055774 A055775 * A055777 A055778 A055779

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 12 2000

EXTENSIONS

Next term is too big to include.

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Last modified February 15 16:49 EST 2012. Contains 205824 sequences.