A014008 revision #18
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A014008
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Pisot sequence E(10,22), a(n) = floor( a(n-1)^2/a(n-2)+1/2 ).
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1
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10, 22, 48, 105, 230, 504, 1104, 2418, 5296, 11600, 25408, 55652, 121896, 266992, 584800, 1280904, 2805600, 6145184, 13459968, 29481744, 64574688, 141439744, 309799425, 678562341, 1486274065, 3255427634, 7130454154, 15618033069, 34208614441, 74928084529
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OFFSET
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0,1
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LINKS
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FORMULA
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Known not to satisfy any linear recurrence.
a(n) = floor(r*s^n+1/2), where r = 9.99722327450628273875296... and s = 2.190327955501779639125414331914733218563545664874673678481473094... . - Benoit Cloitre, Apr 21 2003
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PROG
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(PARI) pisotE(nmax, a1, a2) = {
a=vector(nmax); a[1]=a1; a[2]=a2;
for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]+1/2));
a
}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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