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A101678 A modular binomial transform of 10^n. 1

%I #3 Mar 30 2012 18:59:02

%S 1,-1,9,1,89,-99,991,-1,9909,-9899,88991,9999,899911,-999901,9999009,

%T 1,99990089,-99990099,899910991,99989999,8899099911,-9898999901,

%U 99089999009,-99999999,990999990091,-989999990101,8899999911009,999999990001,89999999100089,-99999999000099

%N A modular binomial transform of 10^n.

%C a(2^n-1)=(-1)^n.

%F a(n)=sum{k=0..floor(n/2), (-1)^A010060(n-2k)*mod(binomial(n-k, k), 2)10^k}

%Y Cf. A101679.

%K easy,sign

%O 0,3

%A _Paul Barry_, Dec 11 2004

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)