This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A292495 Triangle read by rows: T(n,k) = (-2)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-1)^m. 3
 0, 1, 1, 0, -2, -4, -1, -1, 3, 11, 0, 2, 4, -2, -24, 1, 1, -3, -11, -7, 41, 0, -2, -4, 2, 24, 38, -44, -1, -1, 3, 11, 7, -41, -117, -29, 0, 2, 4, -2, -24, -38, 44, 278, 336, 1, 1, -3, -11, -7, 41, 117, 29, -527, -1199, 0, -2, -4, 2, 24, 38, -44, -278, -336, 718 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Seiichi Manyama, Rows n = 0..139, flattened FORMULA T(n+1,n)^2 + T(n,n)^2 = 5^n. EXAMPLE First few rows are:    0;    1,  1;    0, -2, -4;   -1, -1,  3,  11;    0,  2,  4,  -2, -24;    1,  1, -3, -11,  -7,  41;    0, -2, -4,   2,  24,  38,  -44;   -1, -1,  3,  11,   7, -41, -117, -29;    0,  2,  4,  -2, -24, -38,   44, 278, 336. CROSSREFS The diagonal of the triangle is related to A099456. The next diagonal of the triangle is related to A139011. Cf. A006495, A006496. T(n,k) = b*T(n-1,k-1) + T(n,k-1): A292789 (b=-3), this sequence (b=-2), A117918 and A228405 (b=1), A227418 (b=2), A292466 (b=4). Sequence in context: A117136 A139227 A269750 * A065626 A201758 A096110 Adjacent sequences:  A292492 A292493 A292494 * A292496 A292497 A292498 KEYWORD sign,tabl,look AUTHOR Seiichi Manyama, Sep 22 2017 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 August 26 01:34 EDT 2019. Contains 326324 sequences. (Running on oeis4.)