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A129504 Row sums of triangle A129503. 2

%I #5 Aug 09 2018 15:12:35

%S 1,2,3,5,8,12,17,24,34,48,67,92,124,164,213,273,347,439,554,698,878,

%T 1102,1379,1719,2133,2633,3232,3944,4784,5768,6913,8238,9765,11520,

%U 13534,15844,18494,21536,25031,29050,33675,39000,45132,52192,60316,69656,80381

%N Row sums of triangle A129503.

%H Andrew Howroyd, <a href="/A129504/b129504.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = Sum_{k >= 0, 2^k <= n} binomial(n - 2^k + k, k). - _Andrew Howroyd_, Aug 09 2018

%e a(7) = 17 = sum of row 7 terms of A129503: (1 + 6 + 0 + 10 + 0 + 0 + 0).

%o (PARI) a(n)=sum(k=0, logint(n, 2), binomial(n-2^k+k, k)) \\ _Andrew Howroyd_, Aug 09 2018

%Y Row sums of A129503 (Pascal Fredholm-Rueppel triangle).

%Y Cf. A129503.

%K nonn

%O 1,2

%A _Gary W. Adamson_, Apr 18 2007

%E Offset and a(9) corrected and a(11)-a(47) from _Andrew Howroyd_, Aug 09 2018

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)