(35S) OEIS A000463 (N THEN N^2) & A 159693 (∑ A000463) Formula

12092014, 09:59 AM
(This post was last modified: 06152017 01:58 PM by Gene.)
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(35S) OEIS A000463 (N THEN N^2) & A 159693 (∑ A000463) Formula
OEIS sequence A000463, integers followed by square of integer
1, 1, 2, 4, 3, 9, 4, 16, 5, 25, 6, 36, 7, 49, 8, 64, 9, 81, 10, 100, 11, 121, 12, 144, 13, 169…. For positive integer N input solve this equation G = IDIV( ( N+1 ) , 2 ) ^ ( 2 – ( RMDR( N , 2 ) ► R ) ) + 0 * ( ( N * ( SQ( N ) + 3 * N + 8 ) + ( 3 * N + 9 ) * R + 3 * SQ( N ) * ( 1 – R ) ) / 24 ► S ) for G. You will be prompted for values other than N, ignore these prompts with R/S. eg For N=1953 The calculator returns G=977. In variable S you find the sum of the first 1953 terms S=310,858,929 

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