The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A226377 Lucas numbers differences triangle T(n,k), k<=n, where column k+1 holds the k-th differences of A000204, read by rows. 1
 1, 3, 2, 4, 1, -1, 7, 3, 2, 3, 11, 4, 1, -1, -4, 18, 7, 3, 2, 3, 7, 29, 11, 4, 1, -1, -4, -11, 47, 18, 7, 3, 2, 3, 7, 18, 76, 29, 11, 4, 1, -1, -4, -11, -29, 123, 47, 18, 7, 3, 2, 3, 7, 18, 47, 199, 76, 29, 11, 4, 1, -1, -4, -1, -29, -76, -199 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Consecutive columns (i.e. k =1,2,3...) shift the Lucas sequence (A000204) down by 2 indices. Diagonal (n=k) produces A061084, and Lucas numbers at increasingly negative indices for n=k>2. Row sums equal A203976(n) for n=>1, which equals Lucas numbers  A000204(n) if n is odd, and 5 * A000045(2*n) (Fibonacci) if n is even. Compare A227431 which is a differences triangle for the Fibonacci sequence A000045. LINKS FORMULA T(n,1) = A000204(n) for n>0, T(n,k) = T(n,k-1) - T(n-1,k-1). EXAMPLE Triangle begins: 1; 3,  2; 4,  1, -1; 7,  3,  2,  3; 11,  4,  1, -1, -4; 18,  7,  3,  2,  3,  7; 29, 11,  4,  1, -1, -4, -11; 47, 18,  7,  3,  2,  3,   7,  18; 76, 29, 11,  4,  1, -1,  -4, -11, -29; ... CROSSREFS Cf. A000204, A203976 Sequence in context: A328564 A154879 A097673 * A140430 A123359 A121885 Adjacent sequences:  A226374 A226375 A226376 * A226378 A226379 A226380 KEYWORD sign,tabl AUTHOR Richard R. Forberg, Jul 31 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 26 17:16 EDT 2020. Contains 334630 sequences. (Running on oeis4.)