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A045900 Hypothetical numbers of terms in general expressions for coefficients of Lovelock Lagrangians. 1
1, 1, 3, 8, 25, 85, 318, 1234, 4884, 19458, 77727, 310761, 1242853, 4971151, 19884270, 79536639 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Hypothetical extension of sequence A006372

LINKS

C. C. Briggs, A General Expression for the Quintic Lovelock Tensor

C. C. Briggs, A General Expression for the Quartic Lovelock Tensor

C. C. Briggs, Some Possible Features of General Expressions for Lovelock Tensors ...

FORMULA

a(n+3) = 3*a(n+2) - 3*a(n+1) + a(n) + p(n+3) - 3*p(n+2) + 3*p(n+1) - p(n) + 2^(2*n + 1); a(n+4) = 7*a(n+3) - 15*a(n+2) + 13*a(n+1) - 4*a(n) + p(n+4) - 7*p(n+3) + 15*p(n+2) - 13*p(n+1) + 4*p(n); where p(n) is the partition function (i.e. number of partitions of n) and where p(0) = 1

CROSSREFS

Cf. A006372.

Sequence in context: A172382 A006372 A151426 * A000738 A148798 A148799

Adjacent sequences:  A045897 A045898 A045899 * A045901 A045902 A045903

KEYWORD

nonn

AUTHOR

C. C. Briggs (ccb104(AT)psu.edu)

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Last modified February 17 09:17 EST 2012. Contains 206009 sequences.