The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A207260 Triangle T(n,k) with T(n,k) = k^2 + (1-(-1)^(n-k))/2. 0
 0, 1, 1, 0, 2, 4, 1, 1, 5, 9, 0, 2, 4, 10, 16, 1, 1, 5, 9, 17, 25, 0, 2, 4, 10, 16, 26, 36, 1, 1, 5, 9, 17, 25, 37, 49, 0, 2, 4, 10, 16, 26, 36, 50, 64, 1, 1, 5, 9, 17, 25, 37, 49, 65, 81, 0, 2, 4, 10, 16, 26, 36 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are A171218(n). LINKS Table of n, a(n) for n=0..61. FORMULA T(n+k, n) = A002522(n) if k is odd. T(n+k, n) = n^2 = A000290(n) if k is even. T(2*n, n) = A137928(n), n>0. T(2*n+1, n+1) = A080335(n). T(n,0) = A000035(n). T(n+1,1) = A000034(n). T(n+2,2) = A010710(n). T(n+3,3) = A010735(n). Sum_{k, 0<=k<=n} T(n,k)*x^k = (-1)^n*A007590(n), A000035(n), A171218(n) for x = -1, 0, 1 respectively. EXAMPLE Triangle begins : 0 1, 1 0, 2, 4 1, 1, 5, 9 0, 2, 4, 10, 16 1, 1, 5, 9, 17, 25 0, 2, 4, 10, 16, 26, 36 1, 1, 5, 9, 17, 25, 37, 49 0, 2, 4, 10, 16, 26, 36, 50, 64 1, 1, 5, 9, 17, 25, 37, 49, 65, 81 CROSSREFS Cf. A000290, A002522, A171218, A137928, A080335 Sequence in context: A065626 A201758 A096110 * A187913 A329458 A332010 Adjacent sequences: A207257 A207258 A207259 * A207261 A207262 A207263 KEYWORD easy,nonn,tabl AUTHOR Philippe Deléham, Feb 16 2012 STATUS approved

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

Last modified August 5 23:35 EDT 2024. Contains 374957 sequences. (Running on oeis4.)