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A075413
Squares of A002278.
9
0, 16, 1936, 197136, 19749136, 1975269136, 197530469136, 19753082469136, 1975308602469136, 197530863802469136, 19753086415802469136, 1975308641935802469136, 197530864197135802469136
OFFSET
0,2
COMMENTS
A transformation of the Wonderful Demlo numbers (A002477).
FORMULA
a(n) = A002278(n)^2 = (4 * A002275(n) )^2 = 16 * (A002275(n) )^2.
From Colin Barker, Jul 17 2019: (Start)
G.f.: 16*x*(1 + 10*x) / ((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.
a(n) = 16*(10^n-1)^2/81.
(End)
EXAMPLE
a(2) = 44^2 = 1936.
PROG
(PARI) concat(0, Vec(16*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)) + O(x^20))) \\ Colin Barker, Jul 17 2019
KEYWORD
easy,nonn
AUTHOR
Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002
STATUS
approved