Take the number of seconds in a day and divide by the number of legs on ten arachnoids. Half this amount and divide by the degrees in a right angle.6. A snappy semiaquatic fastener (9,4) - what component am I?7. Take the sum of the internal angles of a triangle and divide by the voltage of a PP3 battery.
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and has 6, a triangular number, of 1 s in its binary representation. We can go further. Each of the triangular numbers 2 2 n − 1 + 2 n + 1 + 2 n + 2 n − 1 + 2 2 + 2 1 has, in binary, 2 n digits, six of which are 1 s leaving 2 n − 6 digits as zero. And there are infinitely many even triangle numbers.
(OEIS A014493 ), while the even triangular numbers are 6, 10, 28, 36, 66, 78, ... (OEIS A014494 ). gives the number and arrangement of the tetractys (which is also the arrangement of bowling pins), while gives the number and arrangement of balls in billiards. Triangular numbers satisfy the recurrence relation (4) as well as (5) (6) (7) (8)