A116183 Array T(k,n) = number of meaningful differential operations of the n-th order on the space R^(3+k), for k=>0, n>0, read by antidiagonals.

3, 4, 5, 5, 6, 8, 6, 9, 8, 13, 7, 10, 16, 12, 21, 8, 13, 16, 29, 16, 34, 9, 14, 24, 26, 52, 24, 55, 10, 17, 24, 45, 42, 94, 32, 89, 11, 18, 32, 42, 84, 68, 169

Offset: 1

Author

Jonathan Vos Post, Apr 08 2007

Keywords

• easy
• nonn
• tabl

Comments

Two more rows can be obtained from A129638 and A129639.

Examples

			Table begins:
k=0.|.3..5..8.13..21..34..55..89..144..233..377..610..987.1597...
k=1.|.4..6..8.12..16..24..32..48...64...96..128..192..256..384...
k=2.|.5..9.16.29..52..94.169.305..549..990.1783.3214.5790...
k=3.|.6.10.16.26..42..68.110.178..288..466..754.1220.1974...
k=4.|.7.13.24.45..84.158.296.557.1045.1966.3691.6942.13038...
k=5.|.8.14.24.42..72.126.216.378..648.1134.1944.3402..5832...
k=6.|.9.17.32.61.116.222.424.813.1556.2986.5721.10982...
k=7.|10.18.32.58.104.188.338.610.1098.1980.3566.6428...
		

Links

• Branko Malesevic, Some combinatorial aspects of differential operation composition on the space R^n, Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat. 9 (1998), 29-33; arXiv:0704.0750 [math.DG], 2007.

Crossrefs

k=0 row is A020701. k=1 row is A090989. k=2 row is A090990. k=3 row is A090991. k=4 row is A090992. k=5 row is A090993. k=6 row is A090994. k=7 row is A090995.

Diagonal: A127935.