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 A138748 a(n) = (n+(n+1)) + (n*(n+1)) + (n^(n+1)). 1
 1, 6, 19, 100, 1053, 15666, 279991, 5764872, 134217817, 3486784510, 100000000131, 3138428376876, 106993205379253, 3937376385699498, 155568095557812463, 6568408355712890896, 295147905179352826161, 14063084452067724991350 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sum of three arithmetic operations (sum, product, powers) of two consecutive integers. LINKS Table of n, a(n) for n=0..17. FORMULA a(n) = A028387(n) + A007778(n). - R. J. Mathar, Apr 03 2008 EXAMPLE a(0) = (0+1) + (0*1) + (0^1) = 1; a(1) = (1+2) + (1*2) + (1^2) = 6; a(2) = (2+3) + (2*3) + (2^3) = 19; etc. MAPLE A028387 := proc(n) n+(n+1)^2 ; end: A007778 := proc(n) n^(n+1) ; end: A138748 := proc(n) A028387(n)+A007778(n) ; end: seq(A138748(n), n=0..20) ; # R. J. Mathar, Apr 03 2008 CROSSREFS Sequence in context: A355539 A323686 A285853 * A097899 A223505 A054236 Adjacent sequences: A138745 A138746 A138747 * A138749 A138750 A138751 KEYWORD easy,nonn AUTHOR Anthony J. DeFusco II, Mar 28 2008 EXTENSIONS More terms from R. J. Mathar, Apr 03 2008 STATUS approved

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Last modified April 21 06:29 EDT 2024. Contains 371850 sequences. (Running on oeis4.)