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A262554 Triangle read by rows: coefficients in Bell's formula for number of ways of making change when coins have denominations which are powers of 2. 2

%I #14 Mar 17 2023 20:37:10

%S 1,1,1,1,3,2,1,9,16,8,1,35,130,160,64,1,201,1424,3272,3072,1024,1,

%T 1827,23682,91040,151104,114688,32768,1,27337,637328,3872456,10136576,

%U 13165568,8388608,2097152,1,692003,28867714,268176288,1041587776,2061746176

%N Triangle read by rows: coefficients in Bell's formula for number of ways of making change when coins have denominations which are powers of 2.

%H G. Blom and C.-E. Froeberg, <a href="/A002575/a002575.pdf">Om myntvaexling (On money-changing) [Swedish]</a>, Nordisk Matematisk Tidskrift, 10 (1962), 55-69, 103. [Annotated scanned copy]

%e Triangle begins:

%e 1;

%e 1, 1;

%e 1, 3, 2;

%e 1, 9, 16, 8;

%e 1, 35, 130, 160, 64;

%e 1, 201, 1424, 3272, 3072, 1024;

%e 1, 1827, 23682, 91040, 151104, 114688, 32768;

%e ...

%Y A002575 and A002576 are diagonals.

%Y Cf. A181322, A262553.

%K nonn,tabl

%O 1,5

%A _N. J. A. Sloane_, Oct 09 2015

%E More terms from _Sean A. Irvine_, Oct 19 2015

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Last modified April 18 02:22 EDT 2024. Contains 371767 sequences. (Running on oeis4.)