1) Lucas sequence
Lucas数列
1.
Thus,the sum of the first n item difference less than 6 of Fibonacci sequence,Lucas sequence could be obtained and its numerical value could be calculated by the general formals of these sequences.
用数学初等方法证明了广义Fibonacci数列的相差小于6的前n项的和式,从而就能得到Fibonacci数列、Lucas数列的相差小于6的前n项的和式,通过这些数列的通项就能轻松计算其值。
2.
Lucas sequence is one of general Fibonacci sequences.
Lucas数列实际上是一种广义Fibonacci数列。
3.
Using the method of recursion to study the calculation of the fourth power mean of the Lucas sequence,a precise formula was given.
研究了著名的Lucas数列,并给出其计数函数均值的一个精确的计算公式。
2) Lucas sequences
Lucas数列
1.
A remark on Fibonacci and Lucas sequences;
关于Fibonacci数列与Lucas数列的一个注记
2.
On some properties of the Chebyshev polynomials and the Lucas sequences;
Chebyshev多项式和Lucas数列的一些性质
3) generalized Lucas sequences
广义Lucas数列
1.
Let P,Q∈N,and let {U_k},{V_k} be the generalized Lucas sequences with parameters P and Q.
设数列{Uk}和{Vk}是关于参数为P,Q的广义Lucas数列。
4) Lucas number
Lucas数
1.
Sum of products of Lucas number of m-power;
Lucas数m次幂的积和式
2.
On the identities involving the even pover of Lucas numbers;
一类包含Lucas数偶次幂的恒等式
3.
Note on identities involving of 3 Lucas numbers product sum;
3个Lucas数乘积和的恒等变换注记
5) Lucas numbers
Lucas数
1.
Identities and congruences involving Fibonacci-Lucas numbers;
一些包含Fibonacci-Lucas数的恒等式和同余式
2.
Some identities involving Fibonacci Numbers and Lucas Numbers;
有关Fibonacci数和Lucas数的几个恒等式
3.
Sum of products of square of Fibonacci numbers and Lucas numbers;
Fibonacci数和Lucas数平方的积和式
6) Lucas numbers
Lucas序列
1.
In this paper, we define the reciprocals sums of the Lucas numbers product J(1,2,…,m) and K(1,2,…,m), and determine a reversel formula of J(1,2,…,m) and K(1,2,…,m) by using the generalized the Lucas numbers recurrence.
给出了关于Lucas序列乘积的倒数和J(1,2,…,m)和K(1,2,…,m)的定义,根据Lucas序列的递推关系以及性质,得到了关于J(1,2,…,m)与K(1,2,…,m)之间的反演公式。
2.
In this paper, based on the recursion of Lucas numbers, we obtained some identical equations and congruences about Lucas numbers by using generating functions produced with Lucas numbers and revealed the internal relationship between Lucas numbers.
根据Lucas序列的递归关系,利用Lucas序列生成的母函数,得到了几个关于Lucas序列的恒等式和同余式,揭示了Lucas序列之间的内在联系。
补充资料：Lucas reagent
分子式：
CAS号：
性质：又称盐酸-氯化锌试剂。将1mol无水氯化锌溶于1mol纯浓盐酸中制备。在有机分析中用作伯、仲、叔醇的鉴别试剂。叔醇或苄醇与该试剂混合后，溶液立即浑浊或分层：5～10min内分层的为仲醇，不分层的为伯醇。
CAS号：
性质：又称盐酸-氯化锌试剂。将1mol无水氯化锌溶于1mol纯浓盐酸中制备。在有机分析中用作伯、仲、叔醇的鉴别试剂。叔醇或苄醇与该试剂混合后，溶液立即浑浊或分层：5～10min内分层的为仲醇，不分层的为伯醇。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条