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A332183 a(n) = 8*(10^(2n+1)-1)/9 - 5*10^n. 2
3, 838, 88388, 8883888, 888838888, 88888388888, 8888883888888, 888888838888888, 88888888388888888, 8888888883888888888, 888888888838888888888, 88888888888388888888888, 8888888888883888888888888, 888888888888838888888888888, 88888888888888388888888888888, 8888888888888883888888888888888 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
a(n) = 8*A138148(n) + 3*10^n = A002282(2n+1) - 5*10^n.
G.f.: (3 + 505*x - 1300*x^2)/((1 - x)(1 - 10*x)(1 - 100*x)).
a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.
MAPLE
A332183 := n -> 8*(10^(2*n+1)-1)/9-5*10^n;
MATHEMATICA
Array[8 (10^(2 # + 1)-1)/9 - 5*10^# &, 15, 0]
PROG
(PARI) apply( {A332183(n)=10^(n*2+1)\9*8-5*10^n}, [0..15])
(Python) def A332183(n): return 10**(n*2+1)//9*8-5*10**n
CROSSREFS
Cf. A002275 (repunits R_n = (10^n-1)/9), A002282 (8*R_n), A011557 (10^n).
Cf. A138148 (cyclops numbers with binary digits only).
Cf. A332113 .. A332193 (variants with different repeated digit 1, ..., 9).
Cf. A332180 .. A332189 (variants with different middle digit 0, ..., 9).
Sequence in context: A096086 A062658 A266654 * A000723 A020525 A252762
KEYWORD
nonn,base,easy
AUTHOR
M. F. Hasler, Feb 08 2020
STATUS
approved

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Last modified April 25 05:56 EDT 2024. Contains 371964 sequences. (Running on oeis4.)