On Partial Sum of Tribonacci Numbers
We study the sum st(k,r)=∑i=0tTki+r of k step apart Tribonacci numbers for any 1≤r≤k. We prove that st(k,r) satisfies certain Tribonacci rule st(k,r)=akst-1(k,r)+bkst-2(k,r)+st-3(k,r)+λ with integers ak,bk,ck, and λ.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/301814 |