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A241494 Pyramid Top Numbers: write the decimal digits of 'n' (a nonnegative integer) and take successive absolute differences ("pyramidalization"). The number at the top of the pyramid is 'a(n)'. 2

%I #22 Mar 11 2024 01:44:12

%S 0,1,2,3,4,5,6,7,8,9,1,0,1,2,3,4,5,6,7,8,2,1,0,1,2,3,4,5,6,7,3,2,1,0,

%T 1,2,3,4,5,6,4,3,2,1,0,1,2,3,4,5,5,4,3,2,1,0,1,2,3,4,6,5,4,3,2,1,0,1,

%U 2,3,7,6,5,4,3,2,1,0,1,2,8,7,6,5

%N Pyramid Top Numbers: write the decimal digits of 'n' (a nonnegative integer) and take successive absolute differences ("pyramidalization"). The number at the top of the pyramid is 'a(n)'.

%C Through the so-called "pyramidalization" process (see A227876), a given nonnegative integer is expanded into its digits and transformed into a pyramid of successive absolute differences between digits. The present sequence is built only with the top number 'a(n)' generated from its correspondent nonnegative integer 'n'.

%H Filipi R. de Oliveira, <a href="/A241494/b241494.txt">Table of n, a(n) for n = 0..9999</a>

%F a(n)=n, if 0<=n<=9.

%F a(n)=|mod(n;10)-floor(n/10)|, if 10<=n<=99.

%e If n=1735, a(n)=0:

%e ______0 ------>a(n)

%e ____2_:_2

%e __6_:_4_:_2

%e 1_:_7_:_3_:_5

%Y Cf. A227876 for the pyramidalization process.

%Y Cf. A076313 - its first 100 terms have the same absolute value, diverging afterwards; cf. A225693 and A055017 (A040997) for the same reason.

%K base,nonn,easy,look

%O 0,3

%A _Filipi R. de Oliveira_, Apr 24 2014

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Last modified June 7 02:28 EDT 2024. Contains 373140 sequences. (Running on oeis4.)